Here's a great link to see these amp/thrust relationships
http://www.flyingmodels.org/index_en.htm
Look at the "Great Electric Motor Test".
One additional point, while a lower KV motor can swing a larger prop at lower current, it probably will produce less thrust for a given prop. So you may have to swing a larger prop just to get the same thrust. A good parameter to read on the above tables is the "efficiency" rating, or thrust per amp drawn. This will tell you how much the system is working to provide you with thrust. Choosing the motor/prop with the best efficiency will give you the longest flight times.
Clark
ORIGINAL: BoneDoc
second set is the winding of the motor. the lower the number, the higher the kv, hence the "hotter" it is. It means it produces more RPM at a given voltage. Good for speed, or gearing purposes, but if you're tryitn to turn larger propeller, it can't (draws too much amps).
in general, higher KV motor is more efficient, but not able to swing big propellers (unless geared)
HTH
Josh