I actually like AA quite well. My only suggestion is be careful with your carry on items. It used to be you could take a purse, backpack/carry-on/briefcase (whatever) and still carry your camera. As my camera is a high 3 figure item I like to actually carry it until I am on the plane & seated when I can then pack it away (without backpack getting smashed, etc). However, mid-last year they became very stringent (halfway thru my trip - one way on way out - different on way back). I could only have the 2 items - camera even though on my neck was 3rd item.
So I ended up next time with purse inside of carry-on & camera inside of backpack (which then became my personal item), even though I wanted it out. That way I actually had 2 'bigger' items. Once I was seated & backpack was under the seat, I just pulled out my purse from the carry-on & slid it under next to the backpack (I'm not obsessive - I need to have my insulin & blood-tester close to me -otherwise I would have left it in carry-on).
So basically figure 2 carry-on items per person - one carry-on case & one personal item (purse/carrypack/diaper bag etc). Depending on the age of the kids/traveling companions this should definitely keep you down to only a couple of large suitcases for checked baggage. Just check AA's site before you go for any changes that may take place. It was very hard when I went as it happened mid-trip with no e-mail notification to fliers who had already booked tickets. The pilot actually came on the speaker & apologized because evidently people were getting VERY irate LOL. He kept apologizing & saying 'it wasn't our idea!'.