Monica,
I considered a Honda 1000 but it wasn't enough to start the A/C so I got a Honda 2000. It's a nice little generator. Some have the 3000 but you'd definitely need a permanent place for it. The 3000 is way too heavy for most lady's to move. The 2000 only weighs in the neighborhood of 40 lbs. Since you are
fulltiming you should consider mounting the generator on the tongue as I and others have done or not. I just posted my mod a few weeks ago.
In addition to having a generator I also have a 55 watt
solar panel. If I had a 16 footer like you I'd have a 100 watt panel and mount it on the top of the trailer. My panel is not mounted on my 13 footer as I don't have the room for the panel I chose purchase, that would be the actual size. Now remember the
solar panel only charges the trailer
battery so that's all the power you have available. To run 110 appliances you'll need an inverter. You can't use appliances that use lots of power such as the A/c and Micro, your
battery won't ever have enough juice for them.
I like having both the option of using
solar or generator depending on where I'm camped and what I want to use in my trailer.