To remove a faucet from a sink, you need to:
1. Disconnect the hot and cold water supply lines to the faucet.
2. Unscrew the mounting nuts under the sink that secure the faucet. You may need an adjustable wrench or basin wrench, especially if the nuts are difficult to reach.
3. Disconnect the faucet’s lift rod from the drain.
4. Pull up the entire faucet assembly from the top until it clears the sink. If it sticks, use the edge of a plastic putty knife to carefully work it loose.
5. Use the putty knife to remove any old plumbers putty or caulk from the sink surface after removal. Be careful not to scratch the sink.
Here is a step-by-step tutorial on how to replace a bathroom faucet from [The Home Depot](https://www.homedepot.com/c/ah/how-to-replace-a-bathroom-faucet/9ba683603be9fa5395fab901f6128117) that you might find helpful.