I don't know Ibagari at all, must be fairly new. From where they describe the location, it must be somewhere on the east side of West Bay. Diving in that area is often wade out to smaller panga-style boats unless they have a dock.
Looking at the pictures it's a lot nicer than AKR. One thing about their promo photos though, if you sit on that deck overlooking the pool at sunset the sand flies are merciless, they bite and it stings. So bring a Deet-based spray.
AKR is about 30? years old and shows it. The attraction there is the over water cabanas and the dolphin program - your kid may like that. Food is so/so and the staff is nice and helpful. Superior means A/C - you definitely want that. You don't have to be a guest to do the dolphin things either - we did the dive although we stayed at a house in the West End.
Most shops promote AKR and Cocoview since they've been there or read about it for years in the dive mags.
CCV is a slightly cheaper dive pkg. but not as nice as AKR. At least as old and "rustic" would be a fair choice. You will also hear that AKR does the cruise dives but they get their own boat and will be gone b4 you get back from a 2-tank dive.
A couple options at the same level as Ibagari would be Xbalanque in the West End or Barefoot Cay on the south sde. You could probably walk to West Bay from Ibagari - they don't exctly specify where it is,
AKR is a 10 min. cab ride to the West End - it's slightly more east on the north side. Xbalanque is closer to the West End shops/restaurants. (walking) also.
BFC is sort of all by itself on the south side - private cay. Good food, pool, spa and maybe 10 mins. walk to French Harbor which is more of a local town - several big food markets., even a strip mall - if you need something you can't find in West Bay.
Only visit Coxen Hole in daylight, the name is pretty accurate. If you/kid need a hospital - it's there. Kind of old but seemed clean - my friend had an allergic reaction and spent a night there.
In case someone needs a recompression chamber - it's at AKR - only staffed during the day but call on the way and they'll have the dr come over - he lives nearby. We needed to one night for my friend.
If you like the look of Ibagari, you may like dining at Vintage Pearl in West Bay or definitely at Ooloonthoo in the West End, their owner/chef receives regional awards. Make reservations and dress a little better than shorts/flip-flops if you go.
I'd guess the water taxi goes by Ibagari if you want to go to the West End but they stop at dark. Taxi's are available till late at the main road into the West End for the ride back to West Bay. You don't want to walk back at night, the road goes inland, gets real dark and there have been some hold-ups reported.
Don't forget the Deet - seriously. A local once told me part of West Bay was carved out of a reclaimed swamp.