How should I clean my rug?
For most dust, a lint roller is perfect. If you need to vacuum, I recommend hand-vacuuming on a low power. I do use carpet glue so they should be able to handle a normal vacuum, but if you do use one, set it to a low power.
To remove a stain, mix water with detergent in a spray bottle, spray the stain and rub the solution into it.