It depends if you already have anything to take with you, how portable it is etc. I find with pedicures I have to take my own chair cos otherwise my back is killing me afterwards. I did also go through a phase of taking a table with me and leaving in the car just in case they didn't have anything, but I hardly ever used it so I don't always take it now.
But to start off with you may just want to see how it goes, and then find out if you need a table/chair etc, rather than spending the money first and then later finding out you didn't really need it.