Is just one wallet between coinbase and a sportsbook enough?

[ClimbSomeRocks]

I’m not new to BTC. I am concerned about the lack of privacy in the Blockchain and I don’t want coinbase to close my account. Can I simply transfer from Coinbase to a mobile wallet then to the sportsbook? Or do I need to use a tumbler or shapeshift to Monero and back to make the transaction private?

[cx89]

Once is enough if you generate a new address for receiving.

You could do more in theory, but I don't see the need if you generate a new address. Do whatever makes you comfortable.

[mrpapageorgio]

As long as the address you use to receive the Bitcoin from your book is clean (no previous transactions) then you should be good.