Since Palm Springs is a Resort community, reasonable price is subjective. There is a nice park downtown Palm Springs call 'The Happy Traveler RV Park'. Cannot take any coach larger than 38 ft. (if I remember correctly). They are a no frills park.
The Outdoor Resorts in Cathedral City on Ramon just east of Date Palm Dr. is very nice with 1,200 spots. There is a golf course on site and I think there is a min. stay required. Since we live in the area and store the coach 26 miles from the house, I will bring it in to one of the parks for loading. I remember the above park had a min stay during season.
Another park near Palm Springs is the 'Palm Springs Oasis RV Park' in Cathedral City at the corner of Date Palm and Gerald Ford. I use this park mostly for my 'loading-the-coach' park. Again, no frills and around $55-$60 a night.
Good luck.
MM.