I've been using a similar WiFi drive - the 500GB Seagate GoFlex Satellite. I use it among my Fire, Motorola Xoom tablet, a netbook, and a laptop. People have reported issues with it but I haven't had any problems. You can access it either through a Seagate app or a browser and it supports multiple, concurrent users.
I didn't see anything about it on the Kingston's writeup but there is generally a limitation with these devices - because they generate their own local network, you cannot access the Internet when connected to one of these. That's true with the Seagate, don't know on the Kingston.