So I have a fish camp on an island at the coast where we run all solar during the winter, really only need to run the generator when it's summertime and we want the a/c going. In Texas that's quite important. Unless you're running a microwave or something you probably don't need 2k watts inverter. I have a few lessons learned over the years while setting this all up and upgrading components. I used to just use lead acid batteries, trolling motor batteries from my boat actually. We killed those dead as a doornail really fast. 6 volt deep cycle golf cart batteries went in as replacements and they were great for about 6 months, again we killed them. Lead acid doesn't like to be hit so heavily. I finally put in a couple big LifePO4 batteries and it's crazy how big the difference is. If you want the system to last and not have to constantly monitor your batteries trying not to go less than 50% then skip the lead and go with lithium. Solar panels, I have two old 100 watt Renogy panels and two new 195 watt Eco Worthy (Amazon Chinese junk) panels, the two original Renogy panels outperform the 195 watt panels through all my testing. Keep that in mind. Renogy isn't the best name brand or anything but they're clearly better than the Eco's. Bigger systems will usually perform better at higher voltage but for simplicity I went back to 12v wiring even with multiple batteries, for our purposes the benefits of wiring the higher voltage from the panels don't really matter, it's just a small system afterall. My charge controller gets HOT when all four panels are kicking at high noon and it's close to maxed out, if I were to do it again I'd oversize the charge controller hoping to keep the temps down a bit. On that note, don't bother with PWM and just go straight to a good MPPT controller, you'll end up wanting to upgrade it later anyway.
I work "from home" from this camp for a week at a time or so, watch TV and run fans and charge all my phones and laptop and headlamps whatever, all the lights, two huge floodlights outside, water pump for the outhouse, inside lights all that, also charge all my power tools while rebuilding, my giant bluetooth speaker, everything. If I need to microwave something I'll fire up the generator, or use the A/C of course. If my inverter was bigger I could easily run the microwave but we rarely use it anyway since we're usually grilling or cooking on a propane stove.
edit: Maybe worth noting, this is a fish camp so it's all been hodge-podge and cheaply built and upgraded piece by piece over time. I installed a breaker panel on the cabin and ran two feeds to it, one feed going to the generator 30 amp plug and wired the heavy power breakers to it, all the rear and countertop outlets, a/c, microwave, etc. The 2nd feed only runs the breakers for the inside lights, outside lights, and outlets by the front door. I wired that to a standard plug and can just manually switch that back and forth between the generator and the inverter as needed. After getting the new batteries it just stays in the inverter full time anyway. I built a small shed to house the solar panels (no holes in your roof) and generator, batteries, tools and such. That keeps everything safe and dry and secure and I just fire up the generator in there when needed.