Hello there Good morning! I've never heard Korean motel owner so far to the best of my knowledge However you could find lot of good motels and location through the website such as Wellington central, Lower Hutt, New Land, Mana area(Porirua) and other suburbs area (usually, bit cheaper)
When you are going to stay in Lower Hutt (Parazyn street area)feel free to contact me if you want help whatever.In fact,my location is not far from there where there are so many nice motel collective area.4-5646999(daytime)
I hope you'll enjoy travelling in Wellington with your family.