Before you start put on your safety glasses and gloves. Secateurs are like spring-loaded scissors and have a locking system to keep the blades shut while you're not using them.
Start by cutting off small branches near the base of the tree. You can also use the secateurs for low hanging small branches.
Ideally the blade on your handsaw will be very sharp, so it's important to work carefully. You can use a handsaw to cut any protruding or lower level branches too big for the secateurs. Cut the branch off close to the tree trunk and avoid cutting the main trunk. Make sure you cut the branch on an angle that protrudes slightly off the trunk.
Use your pole pruner's lever action to cut hard to reach branches. For thicker branches, there are attachments for the pole pruner, including a saw, that you can also be used to cut branches higher in the tree.
Undercuts are used to remove large branches, that if you cut it from the top, the weight would snap it off. This can lead to tears in the bark and expose the tree to diseases. To undercut, start under the branch and saw upwards until you have cut halfway through. Then saw down from the top of the branch, starting about 3-5 cm up from the undercut. Keep sawing until the weight of the branch pulls it away from the tree. Tidy up the tree by cutting from the top of the remaining branch, away from the trunk, all the way through.