There's a lot of variables for coffee. Are you using quality beans, or folgers? What kind of roast? Is the water the right temperature and the right ratio? Are the beans fully coarsely ground? Have you tried blooming the grounds first?

Hotter water and finer grind helps.

But yeah, I still find moka pot easier, especially if I'm making a single cup

You can use a paper filter after french press. I would personally just do a pourover at that point, but if you are unable to achieve a nice consistent medium-fine grind then you may get the best results with an immersion brew (James Hoffman's french press technique) poured through a rinsed paper filter