Hey, please just check the community for such questions… This question in particular has a lot of info already
Sharing a link about updates->
Also as you say letting brave wallet do that. Brave will need to do KYC/AML which is a process which is complex as lots of rules and regulations are in place in this regard.
To answer where your BATs will go, you should see a claim button when you open the browser or if your Uphold/Gemini account hasn’t been disconnected which it does after 90 days I suppose then it should be transferred in that account. Hoping this helps!!