Pothole repair begins by cleaning the hole out. For this, you will need a weeding tool or stiff broom if grass or plants have taken root. It has to be able to get the dirt and debris out of the hole to start the repair. For the hole itself, you will want to have a sturdy shovel.
You will need a wet saw or a concrete and asphalt saw. If you have a diamond bit, that will make the task a lot easier. You will also need a paver and a tamper. These tools are to put the new asphalt into the hole and tamp it down so the repair is level and even.
The process can involve dealing with heavy or hot material, so make sure to wear good, sturdy gloves. You could also need a caulking gun if there are cracks that extend away from the pothole. This is so that you can repair and seal those cracks.