MABS
Take a good look with the search fuction of www.expatwoman.com. Many people are in the same situation as you.
JESS Arabian Ranches (not homes) is certainly a good solid UK curric school, primary and senior on same campus, although they ahve another junior campus in Jumeriah (dont go there if you can avoid it, only for travelling reasons, its an excellent school). At the AUH end of town there is only 1 selctive school and its always heavily oversubscribed (senior only, no junior school) called Dubai College.
There are other good schools but you are getting further away from the AUH end. Meadows and Springs are on SZR, AR is further back. Generally I think most people agree it takes about 1 and 10mins depending on the traffic and where exactly you are working and living.
Getting into schools in either town can be difficult. Try www.khda.com for more info on schools. Just because a school has a quintessentially English name does not make it an English school, be warned.
Sagacious - its much harder to get younger kids in school, so start looking now and asking your questions.
Def more house for your money in DXB. Springs are smaller, 2/3/4 bed terrace/semis. They go in reverse order so a 1E is the bigggest on the end, an M is middle. 3 is 3 bed and 4 is a two bed. Go figure. It also takes a while to get to them from SZR - the main road.
Meadows are all detached and go from 3 bed upto 6 bed, some with pools. Lakes is the opposite side of the road to Meadows and has houses of all sizes in nice community. AR comprises of lots of smaller areas with houses of a similar type in each area. Much easier to get to now the new roundabout is finshed. (Its so much more than it sounds lol).
There are other areas but not really any really non expat areas. The areas above are the only places non locals can purchase. So whilst there are many other lovely areas theya re getting towards the centre of DXB and then your travel time creeps up.
Any other questions fire away.