If you are using an Android phone you can easily add mempool to your dashboard for faster transaction fee information.
Use Electrum wallet on mobile (Android) like your hot wallet and store small fraction of bitcoin there, security-wise.
And Electrum wallet isn't the only Bitcoin wallet that has an adjustable transaction fee, I use Trust wallet and you can also easily adjust your transaction fee in this wallet for Bitcoin..
Trust wallet is close source. You should use open source wallet.
Most Bitcoin wallets won't automatically adjust few themselves to the minimum, most are always at a maximum fee which is why I will recommend mempool.
Default option and recommended fee rate are for user convenience that means it causes high fee rate, then transaction fee. If you know what to do, make your customization.