The Straight Punch - devastating and destructive! Forward and Reverse punch are a good place to start when learning to punch in Mantis Boxing, or other striking arts. They are destructive, and can easily be modified to open hand strikes if necessary.
The following video shows the in's and out's of starting to punch with these two strikes and some of the pitfalls to watch out for.
Using footwork with punches, increases the power, improves range, and helps keep us mobile instead of fixed. Check out pad drills, and blocking drills, or use these on a heavy bag to train on your own.