Definietely clean out a path south. That exit will be invaluable to you later.

Tbh, you're very early in the game and there is no time limit! Don't feel like you have to have your entire farm organised in year 1. While you explore the rest of the game and work on the community centre, you'll chip away at clearing your farm (and that will get easier as you upgrade your tools).

As others have noted, you can move buildings later. So for now, just put them where there is room. Once the farm is clear, take an in-game day or three to rearrange the layout — and if you do that and decide it's still not quite right, you can change it again.

I like to do big rearrangements in winter because there aren't crops or animals to negotiate. Some of my farms get rearranged every winter for the first few years, as my farm develops and needs change. It's all part of the process.

It can be a bit big at first but the Stardew Valley Farm Planner really helped me. Shows ranges of things like sprinklers and scarecrows. If you want to future-proof but be a little awkward in the meantime, I like to farm in 5x5 plots, connected as and when I like for larger plots. You can also make sure you're all lined up (Helps avoid "Crap, if I want a fence here i have to shift the ENTIRE farm by 1 tile" and such). Save your work and write down your url when done, you won't remember it.

I like to have 1 side be livestock (usually left) and the other farm land. But that can change depending on what kind of farm you want and what specializations you pick. Greenhouse is also a priority, so community center is a good focus. Make sure you get the seasonal crops for the greenhouse in Y1 if you can. Waiting for the second autumn because you missed a pumpkin sucks.

You can also look into sheds from Robin when you can afford them. They take up a relatively small area (2x4? I think?) so you can place your equipment in that footprint wherever you want a shed, then quickly move them out of the way, build, and move inside when you can afford it. Designate an area for silos that don't block parts of your farm you want to see, as they are tall. Upgrade tools as your farm grows (TACTICALLY. Watering can waits till winter, don't upgrade your hoe last day of the season when you need to replant the next day, or your axe when you need wood asap, etc), or it will get to be too much to keep up with energy- and time-wise

I agree with the comment saying you need a path to the southern exit.

One of my favorite tidbits is that, though the fences break down slowly, machines like mayo makers and lightning rods don't, so you can build your "fences" out of those and know you are safe.

IMO Stardew is best played when you just find what you personally like to do on any given day. For me, that is about optimizing my income production while also balancing crop diversity. Those are competing interests, and it works well for keeping things fresh each season. Based on your description, it sounds like making improvements to the town, by way of helping the community center, is what you personally like to do. Or, perhaps it is about marking off a todo list.

With that in mind, I suggest clearing out trees, rocks, debris to the south and just making 4-5 3x3 tilled plots. Then each season, plant what you can afford and spend the rest of the time fishing, mining, foraging or building relationships. There is no long-term time gated objective to worry about. So doing something simple on the farm will keep you progressing on what seems like your personal interests.

Now, if your real question is more like “I have been avoiding my farm and I want an optimized farm. How do I get there?” The things to keep in mind are 1. There is no perfect farm it is all subjective. 2. You probably don’t have the upgraded equipment to build it yet. 3. There are plenty of asthetic and well designed+optimized farms you can take inspiration or flat out copy online. 4. Optimized looks different as you progress. Late game farms are financially and tool impossible for early and mid game. You will have to engage with all non-farm parts of the game to unlock the ability to make an optimized farm.

Don't worry about getting it perfect on day 1, or even planning for perfection, your taste will change, what you want to get out of it will change, and the further along you go the easier it'll be to clear things out.

Don't plan for your perfect, especially not as a new player, learn what you want, there's also a spectrum of aesthetics and functionality/efficiency, figure out where you want to be on that spectrum, and that too can change while you play.

In the end you'll probably want green houses and keg/barrel storage structures, so how you arrange your open space now won't be too important in the long run

Bomb it all to hell then rebuild.

How do you like to play the game? The suggestions depend on that.
Do you find yourself min-maxxing proffits or mine levels? Or you like relaxing and going with vibes? Do you like decorating stuff to painting levels?
Also, what activity are you enjoying the most?

...no crops? I tend to beeline to getting some sprinklers so I can place crops and save time on watering for income. Whenever you come back chop some trees to clear some space. Make a path to the dilapidated building, you will use it eventually. Also path to the north and south exits. You can use extra wood to make pathways, and theres plenty of other paths for a more decorated look. Usually those and torches or other lighting help me section things to organize. Once the fruit trees are grown I usually put a path directly around it so I dont mix it up and accidentally chop it. I also put paths around my sprinklers to indicate the range and place my crops. Visual borders I can walk over really help me, and you can always dig it up later.

Idk I would probably move to silos off in the back corner where they don’t get in the way, move the barn/coop section to the bottom right corner and fence that whole area in, allowing access to the small water hole. keep some grass outside the fence so it can replenish if you have a lot of farm animals. Not usually an issue until later but yeah. Could also do the grass starter under fence post thing but eh I just double fence if I’m gonna pave everything so give some space for the grass that can’t be eaten so it can regrow.

Clear the left side for farm. It is near the lake for water if you don’t have sprinklers yet.

Figure how you’d want it paved to make it look nice later. Flower section by the beehives.

Would suggest move the coop down and the silos where the coop is or somewhere else. Directly connect it to the field. Put a barn beside the coop also connected to field.

Grow some crops, huge money. Get sprinklers so you don't have to water.

If you aren't already, progress in the mine and give gifts/talk to people to build up relationships which unlock scenes and sometimes features.