Not having the hand strength for accurate shooting ( Glock 19)
I hear you, mine is a little of nerve damage, and the old issue that bothered old Fred so much:
Some of the suggestions made just make me want to throat punch someone through the screen. Just wait it will hit you. And before I ignore most of the "well I have X and know what I am talking about".
OP,
Try to figure out what is the "main" issue. Is it the recoil, is it the weight of the gun itself, likely a little bit of both. If you are having issues shooting a 357 revolver try shooting 38's through it. If it is a larger framed revolver that will really calm down the recoil.
If it is just the weight of the gun that is getting you shaky try some "cowboy" loads in something you have, they make 38 cowboy loads and they are not much more then 22's IMHO. You can shoot those pretty comfortable in some very light modern 38's. I have only shot them in an old Police Positive but it is not that heavy.
If you are in the automatic world you have a rougher issue. If it is weight you can try to move down to a smaller framed and lighter gun, but then it gets to the point where I don't find it "fun" to shoot. Sure save my life if need be, but I am not going to enjoy a day at the range and 100 rounds in one of those little guns.
If you reload, (fun retirement hobby) you can work on downloading them yourself. Stick to the manual, I have found 9mm loads listed in a manual that will not cycle the gun, you might need to play a bit.
Lastly there is always a rest. I am mainly a rifle shooter, and my left side is just shot. No strength there. Some things just are what they are, you are not going to get any stronger. Joys of getting old, another joy of getting old is listening to people that have no clue what they are talking about, but it is the internet.