What's the best way to wire up my router to multiple devices with a 50-100 feet gap?

Bumping this thread since I plan to tweak my setup. The TP-Link AC750 extender is going to be shifted. And its place, I need a more powerful range extender. Should throw the wifi over a larger area.

Any recommendations?

You can go for a point to point wireless solution since wires are not allowed.
Sorry, I didn't read through this thread so don't know if it was already suggested.

My existing AP has ethernet, I just need a more powerful one.

I did this for my parents house recently and used this as an AP:

The primary router is a Netgear R6400 on the ground floor and this is on the first floor connected through gigabit ethernet to it. I was getting full speeds (300 Mbps) throughout the house. I used the same WiFi network name but different channels so devices switch seamlessly between the two routers.

I was planning to get a WiFi 6e based mesh first but realized it's overkill for my parents usage.

Hmm, this seems overkill for my usage lol. I like the form factor of AC750, just wanted something more powerful than that.

You are looking for a Long Range AP, which are not exactly cheap. Instead get another cheap AP and set up Fast Roaming. TP-Link has their own proprietary OneMesh thing which doesn't require any configuration.

I may go for the TP-Link AC 2600 (RE650) model.