You'll probably be lucky in that you most likely will not have any mosquito encounters in DLR. They are not 100% bug free, but they do a pretty good job of keeping most pests out or away from public view.
As for your other stops while in SoCal, you might run into some hungry mosquitoes. If you have sweet blood like I do (and it sounds like you do), they might seek you out and chomp on you unless take the usual precautions like wearing long pants and shirts with sleeves, or spraying yourself down with Off or something.
I have had those pesky bites between my fingers too. I have also had bites between my toes and on my toes and fingers (below my knuckles). I have even had bites on the very tips of my toes. Mostly, the mosquitoes chomp on my legs, and I could go from having no bites to suddenly having lots of bites in a couple of hours - and I never even knew I was getting bitten!
What's worse is that some of these mosquitoes carry encephalitis (there was a heightened encephalitis warning/scare a few years ago here in SoCal), so you never know if you're just getting a regular annoying bite or getting a horrible illness.