If you are sticking with the AM14U3, then you are really talking about Mecanum and not Omni, as Omni would require a non-trivial redesign of your base. Be aware that using Mecanum usually translates to slower robots, but not as slow as many with no holonomic experience would want you to believe.
Take going forward at 100% throttle. With a traditional tank drive, you get 100% forward throttle. With Mecanum, the vector math will only give you 70.7% forward throttle. In theory, An Omni-wheel robot would still be traveling at exactly the same speed as the conventionally wheeled robot. Unfortunately for Mecanum, with identical motors and gearing it will only go at 70.7% of the speed. If an enterprising programmer were to throw out the typical vector normalization and let the motors run to the input maximum, it will result in a 40% speed up for forward/reverse and strafe left/right directions for Mecanum, matching the tank drive speed in two different directions! The robot would still be the same slower speed on diagonals. This non-linear behavior is frustratingly bad for control, so the default normalization is what we tend to stick with.
This is one of the main reasons Mecanum is perceived as slow. It could be fixed with a 40% lower gear ratio (each wheel has its own motor), but friction losses and moving into a worse part of the power curve make this a difficult solution to fully realize. A good balance is a modest drop of 20-25% on the gear ratio.
Our team does a holonomic drive more often than not, and it can really do some nifty things. We are currently designing a 6-wheel full Omni robot for this year’s game. Even with the magic of holonomic, there really is no substitute for lots of drive practice, just like conventional tank drive.
Not knowing how big your core team is, I would recommend going with what you know, and practicing a lot. If you want to tackle holonomic, work on it as an off-season project. Stop by our pit at Northern Arizona, and we’ll tell you far more than you ever wanted to know about holonomic drives.