Help on how to set up a power adapter for LED system, I want to confirm that I’m doing this correctly. : led

Hi, I purchased an LED set up with amplifiers to fit into my current Philips Hue set up. The kit arrived with wires exposed and no instruction manual. I’m guessing the seller is busy, because they haven’t responded to my question on how to set it up, so I wanted to confirm here.

This is what I bought. https://www.sowilodesign.com/blog_posts/2

Attached to the two amplifiers are grey box-like things with orange levers. (pic below) I assume I connect the corresponding colored wire from the light strip into the socket/hole. Those orange levers don’t have any gripping power when I put the wire in through the front hole, so they fall out. One the side of those grey box-like things are three indentations on either side and a seam that separates the top from the bottom half. Am I meant to pry apart the grey box-like thing from the seam/indentations, insert the wires securely, then close, or do I solder the wires in place?

https://i.imgur.com/8T8xxR8.jpg

I’m also supposed to buy a 24V 100W power supply. The socket/plug that corresponds to the diagram is for two wires (pic below), so I’m guessing by power supply I need something like this switch thing I found on Amazon to connect by wires.

swith thing: https://i.imgur.com/7kwUw0r.jpg

Amazon page I found it: https://www.amazon.co.jp/gp/product/B01KQHMTEQ/ref=ox_sc_sfl_title_2?ie=UTF8&psc=1&smid=A2S6GC7VE50HYC

Plug thing attached to amplifiers: https://i.imgur.com/YuAb5k7.jpg

I’m doing this in Japan and I have no idea what any of this is called in my own language (English), so I’m can’t figure it out online. The local electronic stores say I need to go to specialty stores but they, themselves, don’t know where or what I need to buy.

If anyone can help me identify what these things are called and tell me if I’m on the right track, I’d appreciate it.

Thanks,