I have familial tremors (inherited) which may or may not be similar to your problem. I've found that the proper grip and techniques pretty much take care of the pistol shooting for typical targets at typical ranges, like IDPA, USPSA, ICORE, etc. For long-range pistol shoooting at small targets, I take a rest, improvising in the field.
What I try to avoid is tightly squeezing the support fingers of my right hand, which causes amplified shaking. The two-handed, thumbs pointed forward, 70% of grip with support hand, grip of gun trapped between heels of both hands, pretty much takes care of it.
Most people new to handguns don't use the correct grip, and "milk" the gun with their fingers, causing all kinds of control problems.
Take a look at this Todd Jarrett video:
How to shoot a pistol. - YouTube