It won't. Stick with what you have, it's essentially a bundle to help non-U2F owners start with their Advanced Protection Program.
It's pretty much the same.
One of these keys has bluetooth so it also works with iphone without any cable.
The Feitan key's Bluetooth works with Android and iPhone but it won't work with your Mac or Windows. I own one, that bit was an unexpected pain for me.
The problem I think is the browser, e.g. Chrome only implements CTAP over USB. The Secure Click (yet another security key) is sold with a usb2ble dongle, so you can use it wirelessly also with your laptop/desktop.