ORIGINAL: Nathan King
I would get an electric starter; however, if you can't right now the AX series can be hand started pretty easily with some experience. If you try to hand start USE A CHICKEN STICK, NEVER FINGERS!! Most people who try to hand start don't prime the engine enough. If you have flipped the engine three times without it starting something is wrong and you should go back and make a correction. Continuing to flip without changing anything is almost always futile.
Open the throttle fully and seal the carb with your thumb. Rotate the prop until you've seen fuel entering the engine for a few rotations. If the engine is inverted, your thumb should be moist. Lower the throttle to idle and flip a couple of times without the glow igniter attached. Make sure the plane is secured and light the plug. Give it a few flips and it should start. If it doesn't start there are really only three (likely) possible issues. Bad glow plug, no fuel, or too much fuel. If the engine is flooded it will be much more difficult to flip through compression. If it's not flooded try a little more priming.
What Nathan said here is right on the money. But I would like to add one thing that will make it a bit easier to start the engine. Where the prop is positioned can make all the difference in the world when you are trying to start it. If you are hitting the compression of the engine with the prop/chicken stick at an odd angle you'll never get it turned over to start. Here's what I do. Turn the engine counter clockwise and the prop should be in the 1-2 o'clock position when it hits the compression stroke. If it's not loosen the prop nut and move the prop around until it is in this position. Once it's set up like this you'll find that you can "throw" the prop right through the compression to start it.
Hope this helps
Ken