HTWT,
We just installed a couple of Xantrex RS2000 's in our rig and our kids new rig. I think it will meet your requirements, but let me give you my thoughts.
First of all its a quality inverter, with a lot of nice functions. It does have a built in transfer switch. So when you hook up to shore power, the circuits you powered with the inverter are automatically switched to shore power. The battery charger is killer, its fun to watch as 80-90 amps get pumped to the batteries. To install the unit you need to remove two or three 120v circuits from the coach circuit breaker and install a new sub-panel for the same circuits. The inverter will power the new sub-panel. Sounds like a lot of work but its really not too bad.
It does have a remote, from which you can do just about anything you need to.
But here's the catch.
When we installed our unit it had a software version of 1.02xxx and our kids had a software version of 1.03xxx. The older version would go into hibernate mode (turn off) if we left it in power save mode overnight. That means you have to go the unit physically and press the reset button. That was kind of a pain. The kids unit would stay on power save 21 days without a reset.
We picked ours up from camping world at a local store and our kids got theirs from camping world internet. Turns out Xantrex tech service is quite good, the software update is free as long as your under warranty, but I didn't want to have to hook up and drive the rig to the nearest dealer 100 miles. So thought I would test camping worlds customer service policy. Went in one day and explained the situation to the store manager. He was great. He ordered a new unit direct from Xantrex and had it to us in a week, with the latest software version. No questions asked.
Now we have it re-installed and testing it in the driveway, works like a charm. Would I recommend it? Yes but be sure to get at least 1.03xxx software. The software version is printed on the outside of the box on a white sticker below the serial numbers and other info. The sticker is about the size of a pea. So be sure to take good reading glasses, its very little.
I would also think you would want at least 4 batteries to power the unit or any unit of the size your looking at. When the microwave is on it uses about 80 amps. I'm a bit of a battery miser, so I bite my tongue when my wife uses the microwave, but I guess thats what we got it for. Be aware that it uses about 5 amps when idle, in operating mode. But with the remote you have several power saving options available.
Hope this helps.
Good luck with your choice.
TimK