Arnie (and his bidniss partners) have recently opened "Arnold Palmer's Restaurant" here in La Quinta, CA...it's apparently phenomenally successful, featuring menu items that Arnold says he'd like (Meat loaf, etc. - simple style stuff), but very, very expensive.
From what I hear, you need to book dinner 2 or 3 weeks ahead.
Oh, just wait until July or August. You won't even have to make a reservation. The best and probably the only good thing about the dog days of Summer in the Coachella Valley is that you can dine out anywhere with no hassle.