Both the white breasted nuthatch and Carolina wren both look very distinct from the brown creeper, so it should stand out if I see one.

I was pretty surprised the wiki says the creeper is even smaller than the nuthatch. That's one small bird!

Here's the WB nuthatch

And the Carolina wren

(Just random Google pics)

I wish I wasn't so intimidated working with the songbirds, I see so many types of bird that I never knew we had. This year I finally saw an oriole, and we had a thrasher, which likes to run around in the ground, they call it the "Eastern roadrunner." Got up close to a pileated woodpecker and some flickers this season as well. Getting to see them up close is fun, but I still think encountering new animals at random in the wild is still the most fun!