Auckland is a hilly city and not very wheel friendly to prams, mountain buggies, wheelchairs and people recovering from an accident or operation. However there are some flat walks in Auckland that do avoid the steep bits.
You can find a list of wheel-friendly walks at Auckland Regional Council.
Check out Pram and buggy friendly walks in Auckland for more ideas.
If you know of any other flat walks, please leave your suggestion in the comment box below.