Our favorite restaurants in the greater Palm Springs area: Si Bon, Koutouki (the parking lot is pretty torn up by the city back in January), Old Spaghetti Factory, French Corner Cafe, Tommy Bahama, La Quinta Cliff House, Babe's BBQ (You've got to be hungry), Catalan. There are also a bunch of chain restaurants - Cheesecake Factory, Yard House, Olive Garden etc etc.
If it is your first time, you may want to do the tram ride. Living Desert Zoo and Gardens is excellent. We've been to Joshua National Park, no for us but a favorite for hikers. There are museums and a Thursday night market in Palm Springs. Street Fair at the College of Desert if you want to look at knickknacks. The Gardens on El Paseo, great shopping, art galleries and restaurants.
Lots of great golf courses that are don't break the bank.