Steakhouse
The steakhouse is Delmonico's. It's a great place to eat but very pricey. If you just want a decent steak do Grand Lux. If you have to have the best, and if you've won some $, do Delmonico's.
A good alternative to these is the Top of the World restaurant at the Strat. If this is your first trip to Vegas, you shouldn't miss it. A little pricey (about $120-150/couple including a couple of drinks,) but the BEST view ever. Go at twilight. You and mom will love it.
Good luck!