ahh, depends on your skill level. My favorite scrambles are gunsight and rattlesnake out of 29 palms (these are a bit technical but lots of Europeans climb there as the granite is amazing, you feel a bit like spiderman). The coachella Valley hiking club (can google it) has hikes going out with guides (I'm one of their hike leaders). I love painted canyons
by Mecca. They are a series of slot canyons with ladders or ropes to get over dry waterfalls and at the top have great views of badlands, and can see all the way from Mexico to San Gorgonio Peak (think elevation change is -250 feet to 12,000 + feet). You go east out of Mecca on Box Canyon road, cross the canal, go about 100 yards and take gravel road on left. You don't need 4-wheel drive although it says you need it. Its about 40 min from palm springs but is like Utah slots.
Indian Canyons are more sedate with marked trails that are pretty...right off palm canyon drive in palm springs but very isolated in the trails but is minor fee to get in as is Indian owned. Magnesia Falls trail out of Rancho Mirage is pretty and if you go early in the morning will likely will see bighorn sheep. The north side of Joshua tree has interested trails in Hidden Valley and by Barker Dam. Its a bit of a drive to the north end. Off highway 10 can go in the south entrance of Joshua Tree just drive to the ranger station then take a right and go about a mile to cottonwood springs trail.
That is pretty and relatively easy with only minimal climbing. On all of these walks make sure you bring a liter of water per person.
The most sedate it to take the tram out of palm springs. starts at about 100o elevation and drops you off at 8500 going right up the side of the mountain. snow up there so take a jacket and hiking in winter not good...in summer nice. Is equivalent of ski lodge on top with scenic views.The Living desert is horticultural and zoo for desert species from around the world and has a couple hr hike in back. In Palm Desert off Portola. Is quite nice.
FWIW you won't see any snakes anywhere this time of year.