UTXOs are inbound transactions that are assigned to your private key that have not yet been spent/not yet output.
The transaction would fail.
Your wallet should look at the blockchain’s last transaction fee and suggest for you the best fee for you to get your transaction on the blockchain fastest and cheapest.
Because your total inputs (UTXO) need to be equal to your total output within a transaction, you can split each of your outputs to be the same amount and send to different addresses (some you own, some to the payee) so that this transaction is obscured. I suppose that this is the basic strategy of coin mixers out there.