EE,
I think with young kids staying at the resort is all you can do. So if you like a beach with no touts Nusa Dua is the area to be. The resort we went to is small so I'd suggest trying the resort my bro's family (and another family) went to...I think it's the Grand Hyatt - it has a few restaurants (which is wonderful) and compound is big enough to roam around in. Nice beach and pool.
If you don't want to be at that area...while we were there, we thought Hard Rock Hotel was quite cute because there's a "sand area" near their pool. So don't have to go to the beach and don't need to be afraid of fearless tots running out into the open sea.
I'm sure the Kuta area is bustling at night (though we didn't go at night)...so if that's your thing, I think HRH.
S/W went recently, maybe she stayed at Ubud, so you can ask her... I went to Ubud (day trip w/o kid) and I love the shopping there...I'm glad I brought my mother. haha
Michelle,
I'll google it. thanks.