If you buy a hand grinder you will not likely ever use it a second time. I have learned two very valuable lessons in my life.
1) if you cannot tie knots like a sailor, then buy cheap rope, tie lots of knots and use a knife to undo it.
2) if you cannot figure out how to butcher meat, buy a really good grinder. You can make a lot of meals with ground meat.
Okay not a Lesson, but more an observation. Buy some cheap pork cuts at walmart and grind them up with the deer. The pork will make the venison stick together better when making patties, and adds just enough fat so it will sizzle rather then burn. Also it makes awesome meatloaf!
Whether or not you remove all the silver skin depends entirely on the power of your grinder. Mine will accept chunks the size of an orange as fast as I can feed them in. I usually regrind a second time. Between grinds I will always pull of the blade and the cutting disk and remove the silver skin which will be wrapped around the spindle of the knife blade right behind the cutting die.
The grinder will remove the silver for you if it has enough power. The cheap little home owner versions will bog down and stall. The 1.5 HP and up grinders will pull the meat out of your hand when you feed it in!
A good grinder bought one time will last you forever and after a few deer it's cheaper then the cost to process every year. It's been a great investment for me. All my buddies borrow it now as well!
Most important for me...... I know the field care I made the effort on is the meat I have. Having a butcher process your meat you never know who's meat you're getting or how they cared for it.