How about North Conway, NH. You can find hotels, motels in various price ranges. I dont' know how old your children are but they have Story Land, Santa's Village, North Conway Railroad, miniature golf, tons of restaurants, some shopping and the Kangamangus Highway has lots of picnic, hiking places to visit. We love it and go every year. Lots to do. Lots of beautiful sites like waterfalls, mountains.
I live a bit north of North Conway. You might want to check out hotels in the Glen/Bartlett area. I am told we are slightly cheaper than up in the village of North Conway. A bit further to some of the stuff in town but worth it.
Some shopping is an understatement. We have the Outlet Village which those of us who live there consider a blight on the landscape but the tourists seem to love! We only like it when we need new shoes! They have a lot of shoe stores. There are also cutsie little shops in the village itself.
New this year is that both Mt Attitash in Bartlett and Mt Cranmore in North Conway have mountain coasters. Either of these places is a full day attraction now if your kids are the right age. They have mountain slides, bikes, water slides, etc. Not all at both places but they have web sites.
There is a lot to do and a vacation is very doable. Lots of condo type accommodations for rent, at least in Bartlett. That can save a lot on groceries and maybe have a pool. There are swimming spots in the Saco and Rocky Branch rivers in the area, as well as a lake not too far away.