Welcome to ATP! When cutting, know the sap inside the plant has latex, which can give some people a miserable rash like poison ivy. Avoiding contact with that is best, but wash it off well if you do get some on your skin, and make sure you don't rub any into your eyes.
If you are able to add a pic of your tree to this discussion, you could get more specific opinions about where to cut, if you're unsure. The removed pieces can be used to make new baby trees.
