Edit – my initial posts disappeared when I tried to make a edit for spelling…..
First, you cannot create a private Wi-Fi network without a Wi-Fi wireless access point. Neither the console or the computer have this ability. Therefore you’ll need to add an additional piece of network equipment for this to work. Most commonly people use an “all in one” router/switch/Wi-Fi access point. This accomplishes many things. First, the device can act as a DHCP server for your little network. This means you won’t have to manually assign IP addresses to each device, but can set everything to “DHCP” and then let the router assign those addresses automatically. This will make setting up and connecting devices to your network MUCH easier.
Second, the device will allow you to set up a private Wi-Fi network with a custom SSID name and password. Do not bother trying to “hide” the network. It doesn’t actually improve security and it just makes the network harder to use.
I would suggest something from the GL.iNet brand. I have a GL-SFT1200 (Opal) travel router that works really well. It’s usually less than $40 on Amazon. They have more expensive models that offer more options, but I doubt you would need to use them given your knowledge level. The coolest feature of these devices is that you can connect to a facilities Wi-Fi network with the device, while also establishing your own private Wi-Fi network as well. The devices on your private Wi-Fi network will have access to the internet through the facility’s Wi-Fi network (assuming the facility has internet access).