Answering this question may get a bit complex. You have several different options to consider when it comes to buying a mouse and keyboard combination that you like.
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Connecting to a network vs. your computer
First, you mentioned that you have a wireless printer. I’ll have to clarify something here.
Printers like yours have a completely different wireless protocol. If your printer connects through WiFi, it’s connecting to your network, not directly to your computer. The advantage to this is that any computer signed into your network can connect to the printer.
When it comes to a keyboard and mouse, you don’t want that to happen. You want those to associate directly with your computer.
As you may know, WiFi is a form of networking. It’s the moral equivalent of having a cable strung between the printer and your computer or the printer and your router. It’s not the same kind of wireless protocol that we’re using with devices like keyboards and mice. These usually use either one of two different short-range protocols.
Check to see if your laptop natively supports Bluetooth. This is a short range wireless protocol that’s specifically designed for devices like mice, keyboards, headphones, and other things.
If your laptop natively supports Bluetooth, you already have a receiver built-in. All you then need to do is get a Bluetooth mouse and keyboard that meet your needs.
The only drawback is that if you have an older laptop, it may not have Bluetooth.
Manufacturer-based wireless protocol
Many manufacturers actually have their own short-range wireless protocol as well. The trick is to make sure that you’re using a keyboard and mouse that use the same protocol.
Now as it turns out, many manufacturers, like Logitech, have actually standardized so you can have a single receiver that will work with any of their devices. In fact, my desktop computer has a wireless keyboard and mouse (both from Logitech) and I use a single USB receiver plugged into a USB port.
So that’s definitely something to research. They don’t necessarily have to be purchased as a pair; they just have to be purchased as having this compatible wireless technology from the manufacturer. I use Logitech as an example, but I’m pretty sure that other keyboard and mouse manufacturers are doing it as well.