When you're preparing to swing, think about where the blade is going to go, including if it passes completely through the target. Make sure that no part of your body is anywhere in that path. Ensure that the leg on the side that the cut is coming from is forward and that the other is back. (i.e. if you're swinging right to left, right foot is forward and left foot is back.) Not only does this make hitting yourself in the leg considerably more difficult but it also makes for a more stable stance.
Not a lot of power is needed. It's quite possible to process a lot of wood with no more than an elbow swing. (Paging Dr. Hollowdweller, Dr. Hollowdweller, you have a phone call.) Get comfortable before you start loading up on your swings. If you need more than you can get from the shoulder, twist your hips slightly and bend the leading leg slightly on the swing; this will put some of your body weight behind the swing. You'll seldom if ever need this.
Read the safety thread again. Take it to heart.
Pay attention to who and what is around you. Catching a buddy with a backswing is not good and I'll tell you from firsthand experience that I really dislike getting hit in the face by someone else's woodchips or flying branches.
What Munk said. Feel what the khuk is telling you. It'll let you know very quickly whether you're doing it correctly or not. A chop should not jar your arm or torque your wrist. It should just thump to a stop. If you're exerting yourself for a while your muscles will burn, of course, but no other part of the process should be painful. If your hands are reasonably callused, the handle is the correct size for your hand, and you're holding it properly, you shouldn't get any hot spots or blisters. (Not everyone will agree with me on this but it's my personal belief...and it took me a hell of a lot of swinging and blistering to figure it out.

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Practice slowly and with little force on green softwood first, if at all possible. You want to make sure that the edge of the khuk is striking the target as close to edge-on as possible. If the edge is out of alignment on impact you won't cut as well, your arm will be jarred and torqued, the blade may skip off at odd angles (a potentially fatal situation) and edge damage can result.
Welcome and good luck.