The BEP2 chain is a Binance chain for using the Binance, smart contract ecosystem. BEP2 ADA is not actually ADA. Think of it as an ADA stable coin that keeps a value equivalent to ADA. Therefore I think you should be able to move it back to Binance exchange where I think it will be treated as equivalent to ADA. Given that you’re now in the U.S., you’ll need to set up a basic account on binance.us (not binance.com), where you can trade ADA after a minimal amount of KYC verification. And yes, you will need a small amount of Binance coin in your trust wallet to move the ADA BEP2 back to Binance.us. I’m not sure if you’re familiar with ERC20 tokens, but the BEP2 network works the same way with Binance token taking the place of ETH.
And the next step, as people have pointed out above, is to download Daedalus and/or Yoroi from official sites. Both are very user friendly in my opinion, and Deadalus has somewhat more functionality at this point, but is also a lot slower to start up as it contains a copy of the whole blockchain that has to be updated periodically.
I’m pretty new to Cardano myself, but here is a discussion of the Cardano roadmap of overlapping eras that’s very informative and fascinating in my view: Byron - Cardano Roadmap
And ADA is the name of the Cardano protocol’s native coin, and it was named after the programmer Mary “Ada” Lovelace. And the Mary hard fork which you’ll be hearing about soon if you haven’t already is about the introduction of other native tokens to the Cardano ecosystem. Mary is currently underway on the test net and other native tokens and the expanded functionality that comes with them will soon be transitioned to the mainnet, at which point we’ll be able to store other Cardano native tokens in our Daedalus and Yoroi wallets.