The only trick involved with getting an engine to start easily is having just the right amount of prime in it. Some people do this by the brute force method which is to wack on the electric starter and wind it over and over hoping it'll get some fuel (and OIL!) into it. But if you find the right amount of prime for your engine (and they all differ a little) you'll get it to start with one or two flicks every time.

The manufacturers instructions are only a guide so if it doesn't work then change them a little. I'd suspect that the two choked turns you're giving it may not be enough so try 3 or maybe 4 turns (with the throttle wide open). The 8 or so flicks (not just turns) after that is to spread the fuel through the engine. What you should be looking for in those 8 flicks is for the engine to begin to sound wet. "Wet" is hard to describe but it'll feel a bit looser and the prop might oscillate a little before it stops moving. If it doesn't sound "wet" then choke it a few more turns. Bring the throttle back to about 1/4 to 1/3 open, connect the glow starter and give it a good flick. It should at least run out the prime.

One thing to remember is that an engine will always run rich but it won't run lean...so open up the main needle a turn or so more than the instructions say. Even if it starts blubbering rich it doesn't take long to lean it out a little.