OK, since you've gotten practice now with the math, let's go with 600w of inverter. Next questions:
1: How long does it take to recharge those batteries?
2: How many times a day do you guesstimate you'll need to recharge those batteries? Once a day? Twice a day?
3: Do you have anything you'd like to run off the system at night when you're not actively cutting wood like lights or a hot plate or anything?
This is all stuff you find out when you do a power audit and yes, a lot of time it's a Wild Ass Guess for some of the numbers.
Example of what we're trying to figure out:
You have to run your 600w inverter to charge all your batteries and it takes 4 hours to top them all off because you ran them dry this morning. That equates to 600w * 4hr = 2400Wh of battery.
You came out in summer and had a really long work day and found that by lunch you'd drained all your batteries down kicking ass on the framing. Now you need ANOTHER 4 hours to charge up your batteries, so 4800Wh of battery.
So now it's time to call it a night because the stupid sun is going down and you want some LED lights to see by all night. You pick up a sting of lights calling for 12w and you want to run those from 10pm to 7am the next morning. That's 12w * 9Hr = 180Wh bringing your total up to about 5000Wh. A bog standard LFP battery is good for 1200Wh so you'd need at least 4 batteries a day to top up all your tools and keep the lights on at night.
As far as generators go, I'm gonna go ahead and say it. I LOVE my
HF 2Kw inverter generator! It sips gas and is about the same noise as any other 2Kw generator out there. The only disadvantage is that it's gas only.
If you want fuel that lasts forever in the tank go propane and grab a
Champion or Honda, although the Honda doesn't really seem worth the extra cash over a Champion. For your needs a 1Kw unit would be plenty if you didn't want anything like a hot plate or air conditioner or anything. One advantage of a generator is that even the smaller units will be cheaper than what a solar system is going to cost by a LONG shot and it gives you more wattage to work with per dollar. Propane never goes bad either which is a plus when you're away from the property for long periods of time and are storing gas in cans.
Sadly, silent portable power is pricy.
I picked up one of the little plastic garden sheds and just left 1 wall off and put my genertor in there. It helps with the noise significantly and keeps the rain off.