I just put Weaver bases and rings on my Vanguard. I got the Leupold Rifleman bases at Wally world when I got the gun. I think they were about $8. I already had some Weaver rings that have two top bands for each ring. They seem to be solid. You can probably get by with low rings if you you use a 40 mm scope and since there is not a back sight on the barrel. Model 700 Rem. bases will fit also. The gun is heavy to start with, so unless you have a magnum I would use aluminum bases and rings to keep the weight down. With a Weaver 3 x 9 x 40 scope I'm pushing 9 pounds. I'm trying to lighten the trigger now. Good hunting.
James