We got our first dog when kids were 8 and 10, we initially thought about a lab or collie or mongrel, but we did not qualify for rescue as our fence is 5ft and should be 6ft
So, we just spread the word amongst friends that we were looking for a friendly dog. One friend heard from her dog's breeder that they had a rejected puppy. A 6 month old lurcher who was too timid and was bullied by the owner's other dogs.
We contacted the breeder, who interviewed us for suitablity and wanted to meet the whole family before deciding we could have her.
Well, we went there and loved that timid little thing. Also met the pup's mother, who had a lovely temperament.
Long story short, she had lived with us fir 6 years and is much much loved.
My advice is to not get too hung up on breeds, but look for personality and temperament. Our girl really has grown in confidence over the years.
Obviously, I now think lurchers are the best and only "breed"
. Anyway, mongrels can be the best imo (ours is grey, whippet, terrier, deerhound cross)
Kids love her, she suits our lifestyle (similar to yours) perfectly
Good luck on your quest 