In your situation, emphasize "portable." It's great to have a generator you can pick up with one hand for remote power. You need one large enough to run a circular saw or drill motor, but small enough to really be portable. The 800w unit won't do it. The 1800 w unit might do it as long as the circular saw doesn't pull more than 15 amps. It's great to have something you can toss in the back of the pickup with some lumber and actually get some work done.
OTOH, the little camper jobbie is pretty handy too. I have one that will run the travel trailer just fine on long duck hunting trips. With propane range, hot water and furnace, all you need is something to run the furnace fan and a couple light bulbs. 800w will also run any energy star freezer or refrigerator, one at a time. Mine is a 1200/1000w 2-cycle that will run 4.5 hours on a gallon of fuel.
This guy gets what I’m gonna my for here. Portability for a second generator is key for me. Like I said in the beginning, I already have an 8k/10k Generac on wheels that I can use for my entire house. But I don’t want to have to trailer it to take it somewhere. And it’s overkill for any kind of small job, not to mention crazy loud.
I was leaning toward the 1000w, bit if won’t run a circular saw or sawzall then it’s probably too small. I’ll check my amp draws on my circular and sawzall to make sure though.
My little pop up camper doesn’t have a/c, so a small ceramic heater would be fine. I could supplement with a buddy heater if I needed to. HF has parabolic heater that has 400w and 800w settings that will be fine for the 1000w unit.
And yes, I still use a sawzall with a cord!