Wondering what to do with your arms and hands? Do you think it feels weird to just rest them at your sides when not gesturing?
Take a lesson from veteran performer Harry Connick, Jr. Notice how comfortable he is with a minimum of movement throughout the performance. When the saxophone player starts his solo at about 1:44, you'll see Harry put both arms at his sides and wait patiently for the solo to end. He's incredibly laid-back, not rushing, not fidgeting.
Of course, if you're more "handsy" like I am, you may rarely take a rest! But be assured that it does not look weird or awkward to rest your hands at your sides.