You DO NOT want to use tiny little screwdrivers, all those will do is destroy the slots in the screws. What you MUST use are FITTED PRECISION GUNSMITH SCREWDRIVERS.
Because you will find that these screws are very very tight. It will take just about all of your strength and a chin pressing VERY hard on the butt of the screwdriver to get them to break loose. I also advise that someone other than yourself hold the revolver while you concentrate on keeping the tip well centered and perfectly square while you apply the force needed to break the screw loose.
After all of the screws have been removed you then have to lift the sideplate free of the frame. Another operation that requires the correct technique. Try and pry that sideplate free and what you will have is a Parts Gun, because that sideplate will NEVER EVER fit properly in the frame recess again. The technique for removing the sideplate is to use Vibration. What you do is tap on the grip frame with the plastic handle of a screwdriver. After somewhere around 50 to 100 taps that sideplate will have lifted far enough out to the frame recess you can remove it easily without the application of any significant force. Note, if it wont wiggle easily keep tapping. Now take a good detailed picture of the lockwork of that revolver. Because you will have to figure out how to get each and every part back together exactly like this. Note, the Rebound Spring will be a major point of frustration and it's a compress spring that will shoot into orbit if you don't retain it as you remove the rebound slide.
PS: I'm not going to go any further with guiding you on how to service your revolver. Because my post is only intended to provide you with reasons for going to a gunsmith. Because odds are excellent that you will be taking this revolver to a gunsmith either as an assembled revolver or as a bag of small parts that is missing a few items.
Note, not saying that you can't teach yourself, just saying you don't want to do that with a family heirloom. BTW I am pretty much self taught. In my case I have a degree in Mechanical Engineering, nearly 40 years of design experience in industrial machines, and I started with the Kuhnhausen S&W Repair Manual. In addition I'm a life long tool junkie and have a fairly large collection of gunsmithing screwdriver tips.