A suite property would give you more space (the kids could sleep in the 'living room' while Mom and Dad occupy the bedroom, and they'd have a separate TV). Since you have HH points, if one of the Embassy Suites properties on Paradise Road (near the strip) has availability, you might consider ES. Here, you'd also have the advantage of free cooked-to-order breakfast (plus, sometimes they run Sponge Bob promotions).

Also Hyatt Place - a nice big 42" plasma TV for those morning cartoons

You didn't specify Marriott, but if you do have Rewards points, another possibility would be one of the Residence Inn properties near (but not on) the Strip - an advantage here is breakfast, plus a fridge and microwave in case the kids want popcorn or cold drinks.