I am not really sure how to answer your question. However I will tell you this:
Bases are very specific to a certain rifle. If you have a Ruger 77, you buy bases for a Ruger 77. If you have Rem 700, you buy bases for that.
The bases for a weatherby vanguard are common with Howa and possibly others.
The base will be in one of several mounting styles: Weaver, picatiny, Leupold/redfield, I think there is a dovetail style, and some kind of twist lock.... the only ones I ever use are Weaver and Picatiny.
The rings you buy need to be compatible with the bases, and also with the scope tube diameter.