Wifi control of Tascam Reel to Reel tape machine

When I say wifi, I actually only mean i want to be able to control it with a wifi device, such as a tablet. The remote itself can be plugged in via ethernet because it will stay fixed in one spot along with the tape machine (tape machines are big and heavy!).
Eventually it would be cool to have a little box with another arduino in it that is the protable remote, instead of using a tablet or PC, it would have push buttons and LED's just like the original wired remote and I guess I could get this to communicated via bluetooth and/or over the wireless network. What is the range (distance) of bluetooth?