I have used "The Flight School" at Palm Springs a few times albeit the last time was 2007. It was located in the Signature building on El Cielo at the south west side.
The owner Andi Dutzi was unfailingly helpful lending us flight guides and giving us T shirts.
At that time they had 2 new C172SPs, a C182, DA40s and a Glastar.
Don't book a hotel until you have spoken to Andy. We stayed in the palatial Hotel Zosos at less than half of the advertised rates.
D.O.