It depends on your budget, but personally, I don't think you can go wrong at Port Orleans. If the boat transportation is up and running - and everything I've read seems to indicate it will be, if it isn't already - it can't be beat. Of course, the Disney buses also service Port Orleans, so transportation is pretty easy even without the boats. It's got a food court, nice merchandise shop, and lots of atmosphere, too. The landscaping is terrific. I also loved the Caribbean Beach Resort, but it is a LONG bus ride from almost anything else, and for a first-timer, that can be frustrating. If you're driving your own car, or renting one for the duration of your trip, that's different.
If money is no object (!), try one of the Monorail hotels. The only one I don't care for is the Grand Floridian, but I guess that's just me. I'm more of a moderate-priced girl, I guess.
As a first-timer, it's GREAT that you're going to be staying on the property - it's the only way to go! And I envy you, with that first Disney visit ahead of you - you'll LOVE it.