Ok, so you need to narrow down the breed a bit.
What size? If you want your children to be able to walk it, then small or medium and not too stocky. This probably rules out bull breeds.
Even labradors can be strong when they want to (and shed a lot)
All individual dogs are different but in general..
Terriers- can be yappy and potential have a chase instinct
Beagles- don’t go there
French bulldog, pug, cavaliers- potential for health problems.
Have a look at the following and let me know what you like/dislike about the breed:
Whippets- low shedding, low energy, healthy, easy to handle.
Spaniels, can be higher energy such as cocker or springer.
Cavaliers are beautiful, low energy dogs but you do need to get a health checked one and they do shed.
Shih Tzu or Lhas Apso - very popular as lower energy, good family dogs but d need grooming
Toy/miniature poodle- can have a normal haircut so don’t look silly, low shedding, small and easy to handle, clever.
Miniature or standard schnauzer- low shedding, clever, the miniature variety can be a bit yappy.