seeking guidance for simple led project

hello, thank you for taking the time out to read my thread. very simply, i own an arduino uno. i would like to use it in order to control led strips for my room. the end result would be something like this "LED Strip Kit for Indoor Decoration" if there is a guide on how to do this somewhere, i would be happy to follow it. one long term goal for this project would be add the ability to control the lights from my cell phone or laptop. once again, thank you for any/all replies in advance!