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.
RE: Hive x Uquid: Shopping with HIVE and HBD