Hi Limner, without seeing the faucet I'll give you a very general idea of what you need to do. You shouldn't need much more in tools other than a screwdriver and just maybe a set of pliers. Turn off the the water at the valves under the sink. To remove the handles the method can vary, the most common way is to pop off the caps (H and C) which should give you access to the screw holding the handle to the stem. After removing the handle you will be looking at the stem itself. Remove the stem and you can get at the washer below. Just be sure to take in the washer when you go for the replacement as there are many different washer sizes. The only caveat to this is the general variance found between different faucets so be sure to take it slow, and if something looks odd or you're not sure I'm sure someone on the boards will be happy to help.