Making the Switch
Shut off any water supply or power supply to your sink. This can be done underneath your sink with stop valves or by shutting off water to the house. Take pictures of the configuration of your plumbing to help correctly reconnect it later on.
Carefully disconnect your water supply lines with a small bowl or bucket handy to catch any water. Various wrenches and loosening oil may be necessary to detach any nuts in awkward spaces. Ensure any pieces running through cabinetry are supported to avoid damage to the cabinet.
Next, you can begin removing any mounting hardware or caulking on top and underneath your sink. Give the area a good scrub to remove any grime and allow it to dry completely.
Now work backwards to install your new faucet.