I used to just let a local processor do it. He was VERY reasonable, VERY trustworthy, and frankly, I felt like I was helping him out in his retirement.
When he finally fully retired, all I can say is every other "processor" PALED in comparison.
Fee's kept going up every year (They HAD to skin the deer-for $$). Quality wen't down every year. Freezer bags opened in the freezer and ruined meat.
You never really knew who's meat you had anymore. You ASSUMED it was your's, but at times, when I picked up my finished product, the bags didn't feel as heavy as I knew they should be.

I finally had enough, and bought a used stainless work bench with a sink built in it, and an old hand grinder at an estate auction.
Been working my own up for years now.
Started about 8 others doing it themselves too.