What DVD reader? Are you talking about the computer that has a DVD drive in it?
First, you do not have to use the CD (or DVD if that is what you were given) to install your wireless printer to your network. The ability is probably there, and it might be easier for the less knowing individual of how to do the wireless setup. But, if the setup disk has the ability, it will probably require you to TEMPORARILY plug in a USB cable between the computer (which is using the disk, CD or DVD) installation program, and your printer. It requires this only to setup the parameters of the wireless setting will need. You DO NOT need to use that disk! But to not do so, to do it manually, will then require you to know what values to enter through the control panel of the printer. Not really too difficult, if you know how to follow step-by-step written procedures... some people can't do that, and thus those setup disks are created for them.
So, once more I say, to use the setup disks you will have a USB cable plugged in only long enough to pass the parameters from the on-screen directions on your computer over to the printer. Once that is done, then you will be disconnecting the USB cable. You do not want to continue to use the USB cable since that is a one-computer-use connection. Instead, by having the printer on your network (either wired via the cat-5 connection or wirelessly) will have your printer accessible to any computer on your network.
If you decide to have your computers, or printer, connected hardwired or wireless is really up to you. If I had a choice, of one over the other, I would go with the wired connection, since it it plug and play (after you make the as-expected installion of printer driver (most times that is automatic - for just the printer function) plus wired is, most times, faster. But, if running the cat-whatever cable is an issue then you can either opt for wireless or (and I recommend) - Enet over powerline.
Enet over powerline is also, most times, just a plug and play, but it requires those adapters at every location, which can be pricey.
Whereas, going wireless, while it also requires adapter at every connection - and your printer already has that - but your other computers ... I have no idea if you do or not. Connecting wirelessly, is really not too hard, all you need it your home SSID (the name you call your own wireless signal) and your signals password, something that you should have setup yourself.
There are advantages/disadvantages for every type of network connection. You are the one who has to determine where your best advantage is.
But to re-iterate, the USB connection (only to use the disk setup of a wireless printer) is only used one time, from one computer. And then you remove it. You do not do it later, or continue using it.