Winchester 1200 Shotgun

It's Me Again,

I have a Winnie 1200 my Dad bouht me when I was 12 to 14 years old. Looks like it came right out of the box to this day. I've shot hundreds of quail, chuckar and clay targets with it. It' chambered in 2 3/4 inch with a full choke. Question is: Will the barrel for the 1300 with screw in chokes work on this gun or would I be better off buying the 1300 If I can find one. The 1200 has done me very well over the years and I still use it. I won a lot of trap shoots with it when I was a kid. I'm not as good of a shot as I was when I was in high school so I am wondering about different chokes.

I know, Practice makes perfect but can't seem to find the time.

Tony