It depends on how you’re trying to use the Bulldog. Are you hunting? Plinking? Shooting paper targets? Will you be shooting pellets or slugs? From what distance (maximum range)?
From my experience I recommend getting a set of high rings and something with maximum distance of at least 14x magnification and a 44mm objective (or larger). My first scope was a CenterPoint TAG 6-24x50mm. It was a cheap, but decent entry level scope until it stopped holding zero. Since I swapped it out I’ve mounted several different types of scopes. So try a few until you find what you like, but you’ll definitely want high rings for scopes with 50mm objectives or larger. You may even need a picatinny rail riser for some scopes.