A long knife that can slice
A cutting board
A big bowl
A big cooking pot, a rice cooker, or a Donabe
A rice paddle or spatula
When you cut fish for sushi, you slice it (draw your knife back), ideally with a single stroke, so you want a knife that’s sharp enough that can do that and also long enough. I use a Dalstrong Shadow Black Yanagiba Knife, but any long sharp knife will do.
I’ve lately started using disposable cutting boards because the clean-up is so much easier
You need a big bowl to mix your cooked rice with the sushi rice vinegar
The best tool for cooking rice is the one you’re most comfortable using. All ways of cooking the rice are fine
A rice paddle is for mixing the sushi rice vinegar into the rice