Kia Ora Greetings from New Zealand.
If your hotel is in Auckland City then buses will get you around fine. There are also lots of tours and they cost around $150 NZD per day per person.
You can also do boat trips from downtown Auckland and that can cost from as little as $9 return per adult for a cruise across the harbour to the suburb of Devonport.
I would highly recommend a trip over to Waiheke Island for the day. It costs $28.50 return for an adult and its only a short 30 minute boat ride away. Once on Waiheke Island you can do small tours which include arts & crafts, wineries, etc.
Check out
http://www.fullers.co.nz/index.php/pi_pa…
I would allow about $30-$40 per person per day for food. You can eat any where from burger places like McD's to cafes and restaurants.
Don't forget to go up the Sky Tower. If you can afford to dine at the Orbit Restaurant, even better.
There is lots to do and lots to spend your money on, but its a great place whatever your budget. Have a great time.