I've done my own my whole life. I used to have the sausage made, but do that myself, now, too. I keep it iced down in a 120 quart ice chest several days and then butcher. To each his own, but I never have gamey meat. The meat bleeds out and bleaches white with lack of blood...good as kosher.
I do the same with pigs (not kosher), but it's mostly out of laziness as if the pig is under 200 lbs, the meat'll be good, not gamey like venison can be if mishandled.
I have a LEM grinder that's about 10 years old, cost 100 bucks at Academy and is still going strong. It'd done quite a few deer and untold numbers of pork. I have a stuffer plate for it and stuff my own sausage. I mix it with pork fat from bacon ends (which is getting more expensive). Most wild hogs are pretty lean and deer are always too lean just to stuff without some pork fat. I like my sausage fatty, prefer 60/40 pork fat to venison, but 50/50 is okay. I have caught hogs that were pretty fatty, but generally I mix it with 50 percent store bought fat, the lean ones. Stuffing your own sausage saves you a BUNCH of money. Last time I had any stuffed was about a dozen years ago and it was $1.10 a pound! THAT was price without smoking. Smoking is extra. OUCH
I will also make breakfast pan sausage to go with our eggs (we have chickens). I like to add maple to it, WOW, great for breakfast!
I will jerk some, but jerky doesn't last around here. I used to do it on a wood smoker at very low heat, but that's a hassle. I succumbed to a dehydrator, works well. I add mesquite flavor from a bottle. Don't jerk pork, though, have to cook that at high heat to be safe.
Anyway, on a deer, I'll cut the rump for roasts (crock pot), cut out the tenderloin (first meal) and back straps. I'll grind or jerk any and everything else. On the pigs, I cut out the ribs, amazing when smoked, otherwise, same as deer.