R12 pretty much sums it up. I'll add a few more:
1) Airports - both are close, but PS airport is super easy, less than 10 mins with no traffic, and it is beautiful (a lot of it is outside). Downside - prices flying into PS are higher than FLL. There are also fewer directs from the East Coast.
2) You are less than 2 hours from a lot of great choices in SoCal: LA, beaches, skiing in the mountains, San Diego, and Northern Baja Mexico. In Florida, it's all pretty much the same.
3) Crime rates are much much less in PS. Wilton Manors is right next to some bad neighborhoods and there are a lot of shady characters at all times. There are definitely some homeless in PS, but I haven't felt threatened by anyone. I definitely felt I had to watch my back more in Ft. Lauderdale.
4) There are a lot of festivals in PalmSprings during the winter bringing in a lot of different people all the time.
5) SoCal has a niceness factor - people are genuinely nicer. There is also a lot of patience and kindness for older people - my mom lives in PS and was shocked by it - in a good way.
6) Neither are very walkable, so be prepared to have a car.
7) Both are hot in the Summer - neither are fun to be in during July, Aug or Sept. You can escape the heat relatively easily in PS by driving 60-90 mins away. You can't escape FL. Plus those are hurricane months in Florida.
8) Wilton Manors is already being affected by rising sea. Miami beach floods a lot with rain. It could be a real problem in less than 10 years.
9) PS is on the San Andreas faultline. Seriously. Everyone is waiting for the 'big one' - but they've been waiting for decades. It will probably be in the 7 range - which is rough - but not like Japanese earthquakes. Also, there are very few structures in PS over 1 story and some buildings are built for it. The 'big' earthquake will disrupt things for some time, but not like a CAT 4 or CAT 5 hurricane that just erases everything off the map.
10) Because it is touristy and close to LA, I find prices (gas, restaurants) are a big higher in PS. It all depends - I've seen a lot of FtL restaurants increase prices to be on par with NYC tourists.
Last thing - there are quite a few considerations before buying in Palm Springs that can make or break your time there. The North side of the city gets a lot of wind - to the point of aggravation. Also, you need to be mindful of what direction your house faces and how much direct sun you get. Everyone thinks they want Southern exposures, but there's always sun here - you don't need to worry about light. Certain exposures will heat your house and pool up so fast and you'll feel a prisoner indoors. Also, you'll need a swamp cooler which will cool your house at a fraction of the price of AC. (Swamp coolers don't work in FL because of the humidity).