HID bulb size question

[Dragonboas]

I just bought an s14 and had one of the headlights go out, upon removal I realized this has HID's so I don't know what size to get. I took it to a shop that sells kits and the owner said I had what appeared to be factory ballasts but if they are I don't know what they came off of, as far as I can tell no s14 came with factory HID's. < correct me if I'm wrong. Looking at pictures it looks like an H1 bulb but do I need to know anything else before ordering a bulb like a connector size or anything? I've never messed with HID's that weren't factory so this is all new to me and a bit confusing. Whenever I look online I get page after page of how the different power creates a different color which doesn't help me at all. Any help would be greatly appreciated, I would like to drive the car after 5pm.

[Veltall]

if its a kouki s14, they use h1 bulbs. no "factory" ballast will have the same type of connectors that a H1 hid bulb would use (AMP or KET type connectors).

[Dragonboas]

It's a zenki but these definitely don't look like h4's at all. I'm wondering now if they are kouki headlight housings. Do I need to specify if it's an AMP or KET connector when ordering the bulb?