You could polish that by
hand since it doesn't look too deep and it's a relatively small area, but using a machine will be easier and faster. I would try using the Dual Action Polisher (Porter Cable) before going with a 4" focus pad attached to a drill if you don't have
any experience repairing paint. The focus pad on a drill is basically a rotary polisher and as such could burn the paint if used it incorrectly. Attaching it to the DA polisher or using the larger pad with the DA polisher will give you the results you want with minimal risk. Watch the videos from Adam's or Junkman.
....and next time, use warm water and a soft microfiber towel to take the bird crap off. The ones they sell at walmart and auto stores are terrible. Check out the Adam's site or Detailers Domain.