How to Monitor the Mempool for Accurate Bitcoin Fee Estimation

Monitoring the mempool means looking at the queue of unconfirmed transactions before you send, instead of accepting whatever number your wallet suggests. It takes about twenty seconds and it is the single biggest thing you can do to stop overpaying. Wallet estimates are cautious by design: they would rather charge you too much than leave you waiting and complaining.
What to watch, in order
Three things. The rate on the first projected block, which is the price of the next ten minutes. The size of the whole queue, which tells you whether that price is about to fall. And the gap between the top and bottom tiers, which tells you what speed costs today. If the queue is small and the gap is narrow, the cheapest tier will almost certainly confirm soon anyway.
Look twice, not once
The queue redraws every few seconds, and a single glance can catch a spike that clears in half an hour. Look, wait twenty or thirty minutes, look again. If both readings agree, the number is real. It is also why an estimate taken last night is worthless this morning: fee conditions have no memory, and a wallet that cached a rate is quoting you history.
Setting the rate in your wallet
Most wallets hide the custom fee behind an "advanced" or "edit" control. Electrum and Sparrow let you type a sat/vB rate straight in; Ledger Live and BlueWallet offer slow, medium and fast presets with a custom box beside them. Put in what the queue told you, not what the wallet offered. Turn on replace-by-fee where it is available, and an underpaid transaction can be nudged higher later instead of resent from scratch.
For anything that is not urgent, gather your sending into one quiet session rather than paying for speed five times a week. Start with reading the queue, and if the unit still feels odd, sat/vB explained covers it.