Any exchange that auto transfers to wallet after purchase?

It seems like the safest option is to buy on an exchange like FTX or Gemini and then immediately (once the fund block clears in a few days) get it off the exchange on to a wallet.

I think this is the best of both worlds: get access to cheap trading tools but the ultimate safety of keeping your coins and keys.

Anyone know of something that exists already? I suspect there are probably websites out there but do it and I’d be curious if anyone trusts any of them.

Worst case if any of them don’t exist, would you want one to exist that works with FTX or Gemini? I imagine security might still be a concern to some of you.