Renting a house, I do not want to make renovations to it.
I will apply for "wired" internet but will use a laptop and 2 desktops all on Debian 9 in a room different than the one existing for the phone/internet connection. I do not need the phone on that line.
I will also enable wifi on the desktops and hope to have wifi in other rooms from the wired connection. The laptop is already wifi capable.

Can someone suggest what hardware I need to do the job? It would be a bonus if someone can suggest hardware compatible with Linux.

Thank you for your help.

The list of OpenWRT-capable hardware should provide a good place to start. Pick from a subset of that based on what is available to you via online or local shops.

Or if you're talking about adding access point capability to a Linux-based router or server, then it would depend only on the individual wireless card.

1 members found this post helpful.

Presuming you are getting NBN, the ISP will provide a wifi router. It will have a password in the box. If it's a DIY install, just plug it in the phone socket, it will dial home and set itself up. Connect to the id it publishes , first thing change the password.

Done.

1 members found this post helpful.

Assuming the desktops do not have wifi and in the same room a multi port wifi extender might be a cost effective option. Uses ethernet so no drivers to worry about. There is a variety of compatible USB or PCI adapters just depends on the desired speed and or budget. There are also powerline adapters which that connect using ethernet.

2 members found this post helpful.

Very common scenario and which part of WA?
Starlink is now available and you can carry it... even when 4wd up in the Dampier Peninsula.
https://www.starlink.com/map
But if you want NBN aka 'Fraudband' (back in the day) which is famous for being "faster, smarter and cheaper" to roll out... why not?

Concurred.
For your internal home network, the powerline range of products could fit the bill when extending your network from the router to the other side of the house.
https://www.tp-link.com/au/home-networking/powerline/
https://www.netgear.com/au/home/wired/powerline/
https://www.dlink.com.au/home-soluti...vity/powerline
https://www.officeworks.com.au/shop/...rline-adapters

And if you like tinkering ( ͡° ͜ʖ ͡°)
https://openwrt.org/toh/tp-link/tl-wpa8630p_v2
https://openwrt.org/toh/tp-link/tl-wpa8631p_v3

1 members found this post helpful.

When you subscribe to internet, they may not use that existing wiring in your house. They probably won't, even if you asked them to.

If I were you I'd just ask them to install the internet box in the room you want it in. In my experience most ISP provided boxes have 4-6 LAN ports and built in wifi, so you don't usually need anything else. They just drill a hole thru the exterior wall and poke the wire thru (and plug it up with caulk).

1 members found this post helpful.

Sheesh ...

In this country fibre-to-the-premises is probably still the exception rather than the rule. Might get it in the city centre or new suburbs, but not elsewhere. Here they re-used the copper I had laid when I built the place over 30 years ago to connect to the (new) fibre down the street. And they have the audacity to call it "high-speed broadband". Bloody mob of crooks.

Thirty years is almost how long they've been shoveling money into that bonfire. If you want the backstory on the lost $400 billion earmarked for infrastructure upgrade, then you can read The Book of Broken Promises: $400 Billion Broadband Scandal & Free the Net for free. The gist is that the money has basically disappeared because the politicians involved in doling it out have not required any accountability but simply keep shoveling more money into the fire.

Meanwhile OP has gone dark... wish he would provide an update.