This article and guide from Assurance Trees in the Hunter Valley NSW can help you. www.assurancetrees.com.au Pruning Trees
Regrowth and renewal takes place when trees are pruned, and if that isn't done effectively, the tree may suffer. Pruning really should be done on a yearly basis.
Cutting a branch will have an effect on just how the tree develops, so consideration is a good idea prior to pruning.