Here are the steps to fix a faucet:

1. Shut off the water supply to the sink.
2. Remove the handle.
3. Remove the cartridge or stem.
4. Install a new cartridge or stem.
5. Reattach the faucet handle.
6. Replace the aerator.

If your old aerator needs cleaning, soak it in white vinegar to remove buildup and deposits.

For a ceramic disk faucet:
1. Push the handle back to access the set screw.
2. Remove the escutcheon cap.
3. Unscrew the disk cylinder mounting screws and lift out the cylinder.
4. With a blunt screwdriver, lift out the neoprene seals from the cylinder.
5. Use distilled white vinegar and a soft scouring pad to clean the cylinder openings, then rinse them thoroughly.
6. Replace the seals and reassemble the faucet.

For a leaking frost-proof faucet:
1. You can fix the problem by replacing the faucet stem washer assembly, the vacuum breaker, or just a loose retaining nut.

Tools required include a 4-in-1 screwdriver, adjustable wrench, and slip joint pliers. Materials required include replacement vacuum breaker parts and washer assembly.

I hope this helps! Let me know if you have any other questions or if there's anything else I can help you with.