Non custodial means that you (and only you) have access to your wallet seed phrase or private key.
If the amounts in discussion are big then it's advised you acquire hardware wallet or learn how to properly setup and use cold storage (hardware wallet would be much easier).
If the amounts are rather small and it won't be a big loss if you get hacked and lose those funds, an Electrum on PC (downloaded from electrum.org and verified) or Electrum on Android (but at least go to electrum.org and get the link to the correct Electrum on Play store) would do the job. Make sure you write down the seen and save it securely.
Thanks for this info, very helpful.