Replacing the bathroom faucet in our 14 year old Phoenix Cruiser was very easy and required "NO" tools and was completed in under 15 minutes. The two water connections were "wing nut style, hand tighten" and the two threaded rings that mount the faucet through the water lines to the countertop were also wing nut style, hand tighten.
Our original bathroom faucet was a cheap white plastic one, the sibling to the outside shower. Here is the replacement. We like the extra height and reach of the spigot along with the swing arm to get it out of the way when needed. I believe it is a Delta, installed maybe 12 years ago.
I recommend to "first" remove your old faucet so you know the project you are getting into. Then take that with you to the store and get one that mounts identically for a simple straight-forward direct swap.