Congratulations. Those are great gifts. It won't be possible of course to know exactly how that combination will work until you take it to the range and shoot some "big paper".
I do have a couple of recommendations. Before you shoot it, I'd recommend that you "deep clean" the barrel. You can read an article about that process, "Cleaning a Shotgun Barrel"
That process will help regardless of choke or shotshell.
Many times #4 shot will not throw patterns that are as dense as #6 shot. If you find that to be the case, I'd recommend the 3" Winchester HV (Black Shells) with 1.75 oz. of #6 lead shot. The very best shell through that gun may be the 3" Hevi-13 "Bronze" shell with 2 oz. of #6 non-toxic shot.
All my best with your new gun and for spring hunting season.