I used to be a Supervisor in the Trijicon ACOG Department. Without getting into all the MOA mumbo jumbo...The difference between the two is simply size of the dot. The smaller 4 MOA dot is better for longer shots (so the dot doesn't cover the target). The larger 8 MOA dot is better for shorter shots (because the bigger red dot is easier to pick up for fast shots).
I would say the "break point" where you would want to go from 8 MOA to 4 MOA is around 100 meters. If you're using it for a handgun I would definitely go 8 MOA. With a rifle it could be 4 MOA or 8 MOA depending on the range you want to shoot at.
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Hope the info helped!
Matt Warner
Manager