Hey, Andree! Welcome to planDisney.
You're traveling a long way to see Mickey! I'm sure every mile will be more than worth it. You're going to absolutely love
The Happiest Place on Earth.
Disneyland Resort does have
lockers on site, however, they're only big enough for a carry-on suitcase. For example, the largest-sized lockers are 18” wide, 25” high, and 37” deep. Bear in mind that your suitcase also has wheels that add to its dimensions. If you're traveling from New Zealand, I assume you have a big suitcase that probably won't fit inside these lockers.
If you're staying at a
Disneyland Resort hotel, you can actually leave your luggage with Bell Services and they can store your possessions whilst you wait for your room to be ready. In the meantime, you can head off to the theme parks and enjoy your Disney day. Alternatively, if you're staying offsite, I'm sure you can always leave your luggage with your hotel. I would call them up ahead of time to check. This might slightly delay your start at the theme parks, but I'm sure you'll still have a supercalifragilisticexpialidocious time.
I hope that's helpful, Andree. Have a truly magical time! See ya real soon.
Mike