Hello
I've been in
New Zealand for 7 years now - you'll love it if you're into the outdoors.
Would suggest that if you're into outdoor pursuits, you consider purchasing a car. While public transport is ok here, it won't get you to where you want to be which will be mainly out of the city. We do have lots of regional parks around Auckland (check out the Auckland Regional Council's website for details) that are accessible but you will find your travel times somewhat limited.
Suggest you look at the North Shore or Waitakere for
accommodation. From North Shore it is easier to head north for the beaches, surf and lots of parks and trails. Like North Vancouver it is accessible by ferry or bus. From Waitakere is also easy to head north but also south and has a more outdoor atmosphere as it's located next to the Waitakere ranges (not quite mountains but to kiwis they are

). You could literally have trails in your back yard out west and it's still an easy bus to the central city. If you want to be by the beach then Mission Bay or devonport are a good bet but may be pricey.
Check out the "trademe" website for deals on rental/
accommodation, cars and other stuff you might need when you get here. It's the local equivalent to EBay.
Good luck with the move.