I think my strategy depends on what I am going after, for a major set say 1965 topps I would start with lots, the key cards and the high series/shortprints. For a smaller set like the 1969 topps supers I would go card by card.
I only build 1 major set at a time but always working on others I tend to be picky on grades so I might be working on my T3 set forever. But I’d gladly work on a 50s or 60s topps set with a 63 fleer, 71 greatest moments or something smaller at the same time.
I prefer a mix of raw and graded just looking for the best card so I mix raw with psa and sgc graded cards.
I store them in shoeboxes that fit both graded, raw, and semi rigid holders and everything is in number order.
Most importantly do what you like there is no right or wrong answer, just enjoy it.
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