Dave,
No springs should fly out, pop out or even be loose inside your S&W once the sideplate is removed.
Proper removal technique is to remove the grips, then remove all of the sideplate screws with a properly sized screwdriver blade (otherwise you'll bugger them up). With the screws removed, hold the gun upside down in your weak hand with the sideplate facing UP. Let your off-hand thumb rest just above the sideplate to keep it from going anywhere. Now, use the wooden handle of a light hammer and rap the grip frame squarely across both the backstrap and forestrap. It will likely take 2 to 4 swats to loosen the sideplate. If your sideplate pops off quickly, your thumb will prevent it from sliding around and possibly scratching other parts of the gun.
Once the sideplate is loose, set the gun down flat on the work surface in a normal orientation. Slowly lift the sideplate at the lower rear and slide it away from the hammer area (there is a sharp "tang" near the hammer you need to un-mate from the frame). Once the sideplate is off you have access to your action.
Note: The transfer safety bar on S&W's free floats in the channel cut in the underside of the sideplate. This should be the only "loose" part inside. Further disassembly is not required or recommended unless you have the proper tools for reassembly.