OMG, where to start.
Lizby, you say you and your husband both grew up in the suburbs of Mobile, AL. You don't say if that is where you are still living now.
We are currently living in Singapore, this is our second move here. While we are not originally from Alabama, we have lived in Fairhope for the last 14 yrs. I am sure you know right where I speak of.
Our first move here, both of our sons were of school age. Now, our eldest son is at UA/Tuscaloosa and our youngest is attending SAS for the second time. Do not worry that your kids will fall behind, even coming from private schools in your hometown, they will most probably be far ahead of their counterparts when you decide to return home. Our sons were in the Fairhope public schools as well as Bayside Academy and neither even begin to compare to the level of education/opportunities your children will experience here. They don't charge the high tuition here for nothing.....you are literally getting what you pay for, or your company, whichever the case may be.
During our first move here, we lived in a bungalow in the Woodlands neighborhood. This neighborhood is directly adjacent to the SAS campus and if you choose to live there, your children will have no problem walking. An umbrella will become part of their backpack necessities. However, unless you have a budget of S$10k+, you will not find the garden space you are looking for as regards your lab, and even for that money, you will be hard pressed to find ample yard space. By this I mean, grass, not just patio and pool.
We have a lab as well, and this time around, we chose to live outside the Woodlands. Our son is older now, high school, and it is not necessary for him to be that close to school. Although, I will say, if your kids are not keen on participating in clubs/extracurricular activities, they may find it hard to make friends if their home is in a pre-dominately non-expat area. Having said that, if they play lots of sports, etc. most of that is held/competed at SAS, and you will find yourself constantly trekking back and forth across the island to attend all of these events. Just my two cents.
It sounds like this may be your first major move anywhere, not just internationally. Be prepared for a much more condensed lifestyle than you are used to. Everything is more crowded, faster, louder, time-consuming. OTOH, if you were interested in maintaining the status quo, you wouldn't be considering this move at all.
Best of luck in your decision, post a reply and i will send my email if you want to chat more.