A good wash with car shampoo, followed by clay bar.

*NEVER* polish a car when there are contaminants on the paint. Polishing is done to remove scratches from the clear coat, not for cleaning things off of the paint.

+1 for clay bar

try washing first and se what comes off, a clay bar wouldlikley help as well. but you may need to get a "wax/polish" done

Since there is no finish on the paint droplets, something like ScratchX would probably get it off really easily. ScratchX is like a weak weak weak version of sand paper (you'd have to sit and scrub your car all day long to get through the finish). I've gotten swiped by other cars a couple of times and been able to take the paint that rubbed off onto my car out really easily with it.

Was doing a home improvement project outside and ended up getting spray paint droplets on my new car. Any suggestions on how to remove without damaging the paint. Any recommendations where I could take it to have it done professionally?