In the order that you'll need them:
Springbar tool
Caseback opener
Screwdrivers
Movement holder
Magnifier
Tweezers
Hand removing & fitting tools
For servicing, add these:
More tweezers
Ultrasonic tank & cleaning fluids
Oil & oilers
Silicone grease
There are other tools that make life easier:
Case holder
Bracelet pin remover
Parts containers
Oil cups
It's easy to spend a grand on quality tools and consumables