I think the advice to not do much of anything for a while is good advice.
At least until you've shot it...a lot.
Doing that will do a few things.
Get you familiar with the gun and drawing from concealment. Does the hammer snag on clothes? Are you getting a good grip out of the holster? Etc.
It will smooth things out with regards to the trigger.
Finally, it will point out to you things that you may not like about the gun and how to improve it.
Most times with a quality gun, nothing further needs to be done.
The most common and easiest to reverse would be the sights.
If they're fixed sights, maybe just adding some color to at least the front sight.
Look hard before you leap and take baby steps when you do.
I've found that the biggest improvement I've ever made to my carry guns was to practice often with them.
And, BTW, lots of that can be done by dry firing with snap caps and get almost the same bang for a lot less bucks.