If you look at the screenshots, it seems they don't integrate your wallet into their customer account or support Keychain or Hive Auth directly. You type in the receiving account, amount and memo on the checkout to your wallet, either blockchain or exchange wallet.
There is a KYC level section on the account page though but I couldn't find any info in FAQ about limits and requirements.
To verify KYC level, you need to upload your ID and billing info. Normally, you have no requirement to upgrade your KYC level, it expand limitation if you want to withdraw your amount or pay with your cash card/bank, some cases, it's good and free to sell your NFTs assets in UQuid platform.