Is there a difference between the signs for 'restroom,' 'bathroom,' and 'toilet'?
The sign shown here (shaking the 'T' handshape) is universally used for 'toilet,' 'restroom,' and 'washroom.' While there is a separate sign for 'bathroom' (using 'B' handshapes), the 'T' sign is the most common and polite way to ask for the facilities in public.
How fast should I shake my hand?
A gentle, moderate pace is best. Two or three quick, small shakes side-to-side from the wrist are all you need. Shaking it too fast or too vigorously might make you look panicked!
Does it matter which hand I use to sign restroom?
You should always use your dominant hand for one-handed signs like 'restroom.' If you are right-handed, use your right hand; if you are left-handed, use your left hand.