I have three computers in my home, each containing important files that need to be backed up. I am considering Time Machine to an external USB drive on my Airport Extreme, but the last time I tried this, my internet connection on each machine went out for about five minutes after waking from sleep while the Time Machine backup updated. I currently have two external hard drives I can use (1 TB and 500 GB) and I'm open to buying new devices, if necessary. I would, however, like to minimize the clutter and not stick hard drives at each machine unless they are unobtrusive and small.
My house is entirely wireless, so network drives must be wireless to connect to each computer.
Any ideas? Or am I stuck with a drive at each machine?