well, its a little sticky. But, at Loews and Home Depot you can buy plastic drop cloth in a big role that you can lay and then throw away. I highly recommend it over fabric because it won't soak through. Make sure you tape off the area well or you can get the stripper of the stain onto your walls. And keep a damp, shed free towel nearby to catch drips.
I will say that the brush you use to apply the stain is very important. Cheap brushes will shed fibers onto the wood and if you don't notice them they will dry there, and when you do try to pick some up it can leave a smudge. Purdy brand brushes are the best.
Have you applied stain before?