Please recommend 3-bed apartment for a family with 2 little ones... on my budget

I posted a couple of weeks ago about our upcoming relocation to Dubai - we are coming over on a much smaller package than we are used to - not a voluntary move but we have no choice considering our family situation.
My husband and I will have a 20 month old plus a new baby due soon after arrival in Dubai.
I am having heart palpitations just thinking about the situation but trying to at least get my facts straight.
Our budget for accommodation INCLUDING DEWA and A/C charges is MAXIMUM AED100,000 / year or preferably less (as it will come straight of our own pockets and we have no separate accomodation allowance).
We would like a 3 bedroom apartment, just not comfortable living in a 2-bed apartment with 2 children - a toddler needs space to play.
We originally had our hearts set on one of the cheaper 3-bed villas in Mirdiff (they start at about 80k) but are worried about unpredictable / high DEWA charges and commuting time to DIP where DH will work.
I have managed to convince myself that an apartment will actually be more convenient with 2 babies under 2 as I am tired of constantly carrying my LO up and down stairs 10,000 times per day!
Since we will not be able to afford the level of toddler entertainment we are currently used to (never mind a maid / nanny!) I am hoping to live in a community or building with open areas / play areas / park / playroom / playgroups so that the need to go out and spend money every day is reduced and we will hopefully meet playmates for my son close to home. And being able to walk to the supermarket would be a plus.
Motor City looks very nice from what I see online (have never been there) as does Layan. And of course the Greens. I like the fact that the Motor City apartments are spacious and have storage (since we will ship all our stuff over) and maids room (just in case we are in a position to consider help in a few months) but after A/C and DEWA they may be over our budget.
I drive and will have a car so driving is not an issue.
I am not keen on something like International City or Discovery Gardens as to be honest find it a bit depressing - but maybe someone can convince me otherwise?
Any other ideas / thoughts / suggestions?