I've used tablets and labtops for the past 4 years. I carry it from room to room, and recharge whenever I find myself at the desk, or keep a power cord in each room in case of need.
I've noticed no great issue with the speed of the wireless connection to the server. Works fine. Initially I had used just the tablet, for signing forms etc on the screen, but after creating a transparent-background stamp the need for that writing function was much less. Now just use the pen for drawing diagrams for pt education. Recently have been using a labtop... has a slightly larger screen and internal DVD drive, etc.
RE: iPad... the biggest obstacle I face is the lack of a mouse. I LogMeIn to my PC, and I have a Bluetooth keyboard, but having to touch the screen to move the cursor makes it hard to work with, too much jumping back and forth... and typing on the screen's keyboard is just (for me) too slow. I guess if Dragon worked on it, might be ideal.