Try both and see what you like. Do your research. This is about as much detail as I am willing to go into on the interwebs:
I'm an EOtech guy, have been for a long time. The large ring is easier to pick up for close quarters, but the smaller 1MOA serves me much better for longer ranges.
They are both projection optics, but function differently. Aimpoints are reflective, and Eotechs are Holographic. They both are parallax free, but only at infinity. For this reason I prefer the outer ring of EOtech as a reference point to "manually" shave off that extra little margin of error for those longer range shots. The "single dot floating in a tube" has never worked well for me, both as a matter of function and actual results on paper/steel.
The 3-5 MOA (depending on model/year) dots on aimpoints restricts the level of accuracy that can be reasonably attained. But Aimpoints are a bit cheaper, IIRC, and do have much better battery life*
*an EOtech is just under 45 days constant run time, and it warns you about 12-24 hours before loosing power. If I am ever in a kinetic environment where I can't get 2 double AAs in 45 days, I think I can live with switching to irons)
