Palm Springs is very nice! Their official website that includes Accomodation Booking is
www.palm-springs.org
I've stayed at several places but my favorite so far is The Chase Hotel under the Historic Inns category, which is mere steps from Downtown Palm Springs. They allow dogs but all rooms are non-smoking. I'm going to try out The Orchid Tree Inn shortly as The Chase was fully-booked for US Thanksgiving.
Enjoy!