BVG vs. PSA question

I am being presented an opportunity to buy 4 BVG graded cards. Grades 9, 8.5 and 2 8s. All four appear to be somewhat centered. What could be expected if the they were crossed over to PSA, which I plan to do if I purchase them. Unfortunately, I do not have scans of them at this point. They are all late 1960s baseball cards if that matters. Thanks
Currently working on 1970 Topps Hockey PSA 9 set
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1994 Pro Line Live
TheDallasCowboyBackfieldProject
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1980-1989 Cello Packs - Rookies