This is my basic tool kit for working with drywall and joint compound. Professionals and more complex jobs would of course, need different and specialized tools, these tools I have found will cover most tasks in home drywall repair.
A special note when working with drywall mud, always use two knives to work the mud, one is for applying the drywall mud and the other is to clean up the knife you are laying the mud with.
You can find all of these tools on Amazon http://amzn.to/1TVwVm7
3″ Putty Knife: http://amzn.to/2gXvolp
6″ Joint Knife: http://amzn.to/2hpIsNn
12″ Taping Knife: http://amzn.to/2z1ssZH
Razor Blades & Utility Knife: http://amzn.to/2gXgbRs
Jab Saw: http://amzn.to/2zkuDdM
Drywall Screen Sander: http://amzn.to/2ho24By
Block Sander: http://amzn.to/2yf3sRl
Sanding Sponge for Inside Corners: http://amzn.to/2z4cvDX
Dust Mask: http://amzn.to/2xzx2wG