I think beekeeping fits into the lifestyle you described very well. The amount of effort to raise bees is very flexible most of the time and it is a great was to help the kids learn patiences and science. As they grow, their respect and interests will grow eith it and you will always have something near by to sit and relax while sipping a favorite beverage.
The forum is a great place to get all the basics of the hobby and then to go the next step forward and attack the trickier issues of pest control, medical treatments, etc..
But families in general love keeping bees as a family project. Each member, no matter how young can be given a job which they can handle and feel part of the who experience.
Welcome to the forum and feel free to ask as many questions as you can think of, there are hundreds of active members here which are always eady to offer opinions and ideas to make your experiences better.
Good luck as you slowly transition to the hobby, but the earlier you accustom the family to the goods and bads of keeping bees, the more they will be helpful members of your beeyard.
Just remember, never go in OVER YOUR HEAD, feel comfortable about your handling of the bees and always have the kids at a safe distance until they are old enough and comfortable helping in the bee field.
But the projects that even the youngest one can help with is mixing batter for cakes and cookies, or adding sugar for sugar-water to feed the bees - so there is always somethig that everyone can do.
Best wishes, keep us informed as you make your location move and remember, asking questions here can often save you a great deal of money when buying equipment, of them people buy anything and everything related to honeybees and all to often - little of the tools are used.
The membership here is extrememly deversed with many opinions, so you will have nearly limitless ideas to form your own logical opinions from.
Thanks for Joining up and happy Beekeeping. Glad you enjoy the site and the forum, it has been a blast here too :)