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Your Steem account cannot be deleted or moved to Hive.
If you're talking about your assets (the STEEM token), then you have to sell it in an exchange and buyback HIVE.

Ok. So when I post and receive Hive Power from Hive using my steemit account as log in access, does that Hive accumulate in my Steemit account, or will I only be able to claim it once I have a Hive account, completely separate from Steemit? Is that money separated from steem, when I post on hive?

Steem and Hive accounts and wallets are two completely separate things.

Good question! I was wondering the same thing.