Why wireless? If you want a network-capable HDD, do it the RIGHT WAY, and get a small NAS unit (2-bay are relatively inexpensive, and support mirrored RAID-1), and then attach it via Gigabit Ethernet to your wifi router, and then ALL of your PCs, wired, wireless, desktop, laptop, tablet, etc., can ALL access the HDDs in the NAS, at the same time (*).
(*) Ok, some NAS units have a limit on the number of simultaneous logins or accesses. But even my cheapest "Gigabit NAS" (IDE, that was the name on the box), had a limit of 32 users, which is unlikely to be exceeded in a home-user scenario.
Go with QNAP (I own several), or Synology (Also highly-rated). Try to avoid off-brands. Also, I was able to recently pick up a Lenovo / EMC IX2-DL NAS (actually several), "new" (box was opened, missing US plug for AC adapter), for under $100. Those I don't think aren't being made anymore, but they still release firmware updates for them, to fix security bugs (apparently, they still sell the bigger units to businesses). Those are fairly solid units too, they are 2-bay as well.
Or, if you think that you will have bigger needs in the future, go with a 4-bay NAS now, and only populate two bays to start with. (You want mirroring / RAID-1 or RAID-5, if you care about the data on the NAS at all.)
Or, cheaper, just get an external desktop HDD (USB3.0), and plug it into your router, IF your router has USB ports. (Many modern consumer AC-class routers DO.) That is more limited, in terms of cloud features and access controls and security, and multi-user access, and worst of all, no mirroring or data-protection features.
In that case, get some WD EasyStore Desktop External units (if they have a BestBuy in your country, they are only sold there, so far), either a 4TB or an 8TB. If you're getting a two-bay NAS unit, then get two of the 8TB EasyStores, and "shuck" them - remove the internal desktop HDD from the external enclosure, and put both of them in your NAS unit. You can save roughly $100/drive doing it that way. (What I did, incidentally.)
And if you're going to go the router with external drive method, then just connect one of them to a router's USB port, log into your router, and configure the storage section.