I have a 2000 watt inverter installed, but no easy way to use it other than walk outside and switch my house power cord to it. Even then, I have to remember to make sure my fridge isn't on Auto and my battery charger is unplugged. It works.
Recently, I started using a small inverter for just the tv/dvd/computer as needed. I already had it. The net of that is that I only have to plug into the 12 volt plug. It's much simpler as you might expect and powers only what I need for AC.
I've also bought two fast 12v chargers for the phones/tablets. My wife is all Apple, and I'm all Android. These really fast chargers mean I don't use AC for charging either. With the LED lights, I practically have power left over at the end of the weekend. :) I'm sure that will change when I have to run the furnace more, but an inverter won't help with that either.
My advice is try a small inverter first.