Assuming you've got all that covered, you'll see an "Other Computer" option on the screen when searching for computers to connect to via Steam Link.
In all these cases, however, Steam In-Home Streaming has one major disadvantage, and it's right there in the name: The streaming can only happen in the home, on a local area network - preferably wired, Valve's recommendations explain, to prevent bandwidth starvation and latency issues. The only requirements are that you have a good upload connection from your gaming computer and a good download connection from the device you want to play on.
The extended Steam Link service (now called Steam Link Anywhere) is currently in early beta, but accessible to all. It supports the Steam Controller over Bluetooth, as well as other Bluetooth controllers, mice, and keyboards. You'll be given a pairing code which you'll need to use to connect with your Steam library on the host PC.More news: Osaka powers past Collins into Indian Wells 4th round
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Valve did not state the exact specifications required to stream at various resolutions, but added that it would continue to improve the Steam Link Anywhere experience.
So, even though the Steam Link is gone, it seems Valve wasn't planning on letting Steam Link's functionality disappear too. The app is still officially in beta, but you can try out the service by visiting the Steam Store.
A post from slouken on the Steam Community boards stated that you should be able to stream games to your Steam Link from virtually any computer running Steam. Valve explain the system here, and among the perks for developers are anonymized network traffic (protecting servers and clients from DDOS attacks) and potentially lower pings through Valve's networks.