Park Tool has some nice videos that take you through the process of adjusting both the front and the rear derailleur. All you need is a screw driver and a few hex keys (possibly).
https://www.youtube.com/watch?v=ZNG7g83lI-s
https://www.youtube.com/watch?v=UkZxPIZ1ngY
Calvin is great at clearly explaining these things, even if they promote their own tools quite a lot. (I am not affiliated with PT.)