It may be best you opt for the compound life. Especially as you have little ones. Compound life enables you and the kids to openely socialize. Most compounds around town have a common club house and a dedicated play area. It definalty gives you a head start in settling in. Your toddlers can run around outdoors without too much worry.

As for the area... both sound nice. Alwaab may be more practicle since you've got some really good schools in that area, and if you want to work, some several day-care centers are also in the vicinity.

Drop me a line if you want... I guess I know Doha too well.