I'll humbly add my thoughts on this but as far as I know Breitling doesn't modify their 2824 movements other than putting "Breitling" on the rotor. Everything I've read and AD's I've spoken to say that Breitling uses a standard ETA 2824 (Chronometer Grade) and adds their logo to the rotor.
With the Omega- I've found from owning gens from both brands the 2892 is an amazing movement: It's thinner, "Smoother" (I can't describe why...it just is), easy to add modules to, and in my experience keeps better time/ holds its calibration better than the 2824 series (even in Chronometer dress)... if you take the basic Omega 1120 movement Omega also adds two additional jewels and does something to reduce the rotor bearing diameter (going from memory here, feel free to correct me) for much better winding efficiency... If you get the 2500 movement you also get the Co-Axial escapement (I'm not sold on these- diehard 1120 fan...as The Zigmeister said, 1120 (2892) and 3135s run neck and neck - I feel the same way) which is pretty cool in and of itself...
I personally feel Breitlings and TAGs simply aren't worth the money you pay for them... you can build a rep Breitling or TAG Aquaracer using a real ETA chronometer grade movement as per the gen and spend less money doing it...even if Omega's are based off ETA movements - they use the high end ETA movements and don't simply drop in a pre-built version with no modification.
That being said: Congratulations on your new watch! Make sure to take some artsy shots of it for the weekend wristies!!
Wear it well!