Joshua Tree National Park is less than an hour drive from Palm Springs. We highly recommend that you check it out while you're in the area, it's a magical place! If you don't have a lot of time, you can drive through the entire park in about 2.5 hours. Give yourself an extra hour or two to get out at a few points of interest throughout the park.
No trip to the desert is complete without a stop at the Desert Hills Premium outlets. Touted as the world's classiest outlet mall, it will have all the necessities to craft the perfect palm springs outfit. Nicole has been known to go a little buckwild here.
There are a number of wonderful tours you can choose from that range in cost and duration of time. You can find the links to the various tour companies and options below. http://www.psarchitecturetours.com/ https://www.psmodsquad.com/ http://www.moderntour.com/ You can also take a self-guided tours, with a list of some iconic architecture: http://www.midcenturypalmsprings.com/palm-springs-tour-of-midcentury-architecture.php