Any one who has fished muskies for a lengthly period of time, in my case 41 yrs, has their own way of doing things. I fish alone 95% of the time. For your own safety you have to be extremely careful when releasing these fish, especially if fishing alone.
A few things, little tricks, picked up over the years that have helped me in dealing with releasing muskies, of course just my own opinion, way of doing things:
Their teeth are not the danger, free swinging hooks on 2 or 3 hook lures are what you have to watch out for.
When using plugs, 2 hook lures are definitely less hazardous to both you and the fish. 2 hooks are enough on most lures under 7" in length.
A great tool for imobilizing free swinging hooks is a piece of rolled up netting about 18" long, taped on one end, looped on the other. Use this to snag any free swinging hooks, then you can safely deal with the hooks in the fish.
I prefer Mustad or VMC doubles, 4/0 or 3/0 for belly hooks on plugs rather than trebles. These hook very well, all but eliminate hook rash on plug bodies, eliminate the need for split rings, and often improve plug tracking, plus are a bit safer to deal with when handling fish.
Having the right tools is very important. One handed hook cutters, long needle nose pliers, wire cutters. Quality is important, especially with bolt cutter style hook cutters. Single hand cutters are a must. Knipex are the best and easily cut through muskie sized hooks, using just one hand. If the fish is lightly hooked, usually the hook can be removed with just the pliers. If the hook is deeply imbedded, cut it at the bend. Hooks are cheap enough. This is better for the fish than ripping out the hook.
Nets are the safest way to handle fish, especially larger fish, 40" or so on up. Work on the fish with the net in the water and use the largest, best quality net you can find.
I don't net fish unless they are around 18 to 20 lbs or bigger, then do it because it's safer. Pics aren't important to me when out alone. My preferred way to release the smaller fish is to just grab the leader with a gloved hand and twist or cut the hooks out. Don't have to measure every fish, for fish under 45" or so an estimate is close enough.
One can go on and on about this, ways to revive stressed fish such as towing a fish to oxygenate it, using a large aeriated live well to revive it, torpedoing a fish to get it to cooler, deeper water, etc. etc. All this works, but not 100% of the time. It is a fact that if you fish these fish hard, there will be the occasional fish that you can't revive. If it's legal, keep it, sub legal, you have to leave it. Do your best to revive it.
Boga grips? Controversial to say the least. Personally, don't use or want one, but that's just me.
To all that pursue these fish, good luck and good fishing. Treat these fish with respect. They are special. If one dies on you, get over it, not the end of the world. Do your best handling these fish and let it go at that.