system
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human
Eli5: difference WiFi booster extender vs repeater

Look to get proper WiFi signal in all rooms of my house. Large home. What to look into?
gpt
The best option is an extender, which uses a wired connection. If you can run an Ethernet cable between two rooms, or if you could use a Powerline adapter, then you'll essentially have two (or more) Wifi access points that are both equally fast and powerful. If you want absolute maximum speeds, have your house wired for Ethernet and put an extender in every room.

The next best option is to get a "mesh" system like Google Wifi, Orbi, Eero, or Deco. They create a fast point-to-point wireless communication between all of the nodes throughout your home on a totally independent wireless channel (not over Wifi) and they all work together to blanket your home in Wifi. These devices are more expensive but they're super simple to set up, they require no extra wiring, and they work great.

The worst option is to get a repeater. What that does is connect to your main Wifi access point, and then broadcast a new Wifi access point from another room. When a device talks to the repeater, it has to receive that message and then send it over to your main Wifi access point over Wifi. This is better than nothing, but it actually increases the total amount of interference because that extra communication is all happening over Wifi. It tends to give you higher latency and slower bandwidth overall.

Note that any Wifi router can be configured to act as an extender or a repeater. If you have a spare, you can repurpose it.

The term "booster" is generic, it refers to any of these.