How many are in your family (3 or 4)?
If its 4, I am not sure that you will do much better than your quote. The park tickets are roughly $1000. for a falily of 4, plus a nice moderate hotel, and a meal plan for $2100. is pretty good. Just for the simple fact that its the kids first time, I would try to stay on site if possible. The difference in price is not all that much, as you got a pretty good deal. We have done both and they each have their benifits. The cheapest place we have ever stayed off site was a 3 bdrm condo for approx $500. for the week. You would have more room off site, but there is nothing quite like staying right on Disney property for the kids!
Also if you stay on site, you wont need to rent a car at all, saving a few hundred at least. Just hop on the Disney magic express to/from the airport to Port Orleans for Free. Then use Disney transportation for everything in between. Its nice not to have to worry about a car and parking. Parking fees apply if you stay off site as well.... I think its $12. per day now. Another Almost $100.
Good luck with everything,
I vote to stay onsite for your family.
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