Automation of shipping options is under construction, but basically you have 3 options:
National shipping (NZ) via PBT couriers. The shop cart will get it right in most cases. Except for major mistakes (like a 29kg product showing as 0kg) you will not be billed more than the shop says, for larger discrepancies you may get billed less. Delivery targets are (I think) Wellington and South Island overnight, Auckland 2 days, further than that 3 days.
Local shipping within Christchurch - is free. Check the PBT map (link TBD) to check that you are indeed "local" for PBT couriers delivery (sometimes same day, but usually next). In some cases (usually industrial customers) I will deliver myself. Pickups are generally not allowed.
International shipping is not calculated by this shop yet. You will need to select the international shipping option (zone rates?) and I will get back to you with a cost. The ADX Electronics link above has more info on international shipping.
If you want something else (Saturday delivery, urgent courier, specific courier) pick an option and let me know in the order comments.
Orders will not ship until payment has been received, unless you have a credit account (industry customer). Bank transfers usually appear in our account the morning after you make the deposit (but not on a Sunday or Monday), so products are usually shipped next day, with track and trace information emailed to you at that time. Even with instant payment options, please understand that products may still have to be picked up from the warehouse, and the courier cutoff is early afternoon - so same day shipping is not the norm.