Looks like you like everything;) Reminds me of Mikey from the Chex cereal commercials. "Don't ask Mikey, he likes everything".

Farmhouse rustic, transitional and Hamptons,

It reminds me of beach houses and country cottages. Relaxed and casual. Organic, even.

Casual, eclectic, airy.

mainly country, with traditional and rustic, coastal in 3rd

I like the second picture the most is that rustic?

slightly rustic, but more country and traditional

houzz style quiz if you're interested
https://www.houzz.com/magazine/houzz-quiz-whats-your-decorating-style-stsetivw-vs~25171951
no one can really tell you what your style is, though. you get a feel for what you like, and looking over many pictures will show how possible it is to like many elements from completely different designs

"Trying to pinpoint" is tough, its like a rifle v a shotgun.
Here's my take:
Photo 1) Balboa Island, CA (look at the Designers Blackband for inspiration) or could be any shore, but the low ceilings says Beach Cottage to me. Look at their earlier (i.e., less expensive work.) I would say also check Coastal Living mag, but if it ain't here, it's nowhere.
Photo 2) Could be Coastal OR. Notice the (hopefully) real stone f/p surround. Dark lighting fixtures & accessories. Using "new" (new is always subjective) trend of rough wood. Tells me, they're either Left or Right Coast (all trends start, and move to middle.) Also, oar tells me Coastal. So, OR or WA? (Personally not familiar w/ Rt Coast.)
Photo 3) Looks like West TX or equivalent. "Farmhouse with a Flair." Good cabinets, recessed style is not inexpensive; painted in not-too-bold, but not shy color. Good creamy wall color. The rug is a reproduction but works very well.
Photo 4) To me, this says "Builder House" w/ local designer paint colors & staged furniture, accessories. Look at the lamp? Would you say it works with a Barn Door? Or the wispy fronds on the wall? Btw, this room has no wallcoverings, unlike Photos 1 & 2.
Hope this wasn't a private conversation I intruded into. I'm waiting for a Vendor & stumbled upon this. Best of luck.

Photo 4) s/b window coverings, as many have said, dang spell check!

Houzz doesn't recognize windows...lol

I feel overwhelmed liking so many things I don't know where to begin ...

Are you starting from scratch or have some main pieces you need to keep. Since you like traditional and it is very flexible. Maybe start with a few main pieces traditional clean lines. Your idea books are light, cheerful in some areas and neutral in main areas. I think you are on the right tract. One decision will lead to another if you don't rush it.

I'm starting from scratch. My boyfriend and I bought our first home at 21 so we have not acquired any furniture since we've never had our own place before this.

Congratulations..that is a big accomplishment for such young people. I would pick a sofa in a classic style and neutral color with thinner squarish arms and good wearing performance fabric. I would advise against a sectional because it is less versatile and doesn't offer any more seating but they look lovely in a big store setting. Then two arm chairs, slightly different color but still neutral. If you get a print make sure they lean towards your coastal, rustic, traditional vibe. Then when you add the smaller pieces you can add Coastal, rustic.

I like the rustic dining table you posted and it leans towards Coastal and rustic but would fit in with the other clean lined pieces.

Long story short...pick long lasting pieces in clean lined traditional. Add the rustic, Coastal with easier replaced furniture down the road.