After buying our house last year we have had to have a number of plumbers come out to fix things because we have a lot of weird DIY issues with this house and the locations of things dont always make sense (weird previous owner I guess) ...most plumbers charged a bunch to come out and often not fix the issues... just hand me a huge bill to try stuff out. Anyway these guys are great, we had them come out first to help stop a flooding toilet issue that 2 other plumbers could not fix, then when it happened again a week later they came out free of charge to check and fix it again (2nd time worked and killed the clog!)
A leaky faucet can be a relatively easy fix depending on the type of faucet, so get to know the basic types of faucets and how to take them apart. You can look for instructions online; YouTube videos are the most useful. A slow drip usually means that all you have to replace is a washer, but make sure you know which size you need before buying a new one.