If you are fit, Blair Street is uphill from the station. If not New town is downhill. They are both owned by the same people and it is hit and miss for the girls if you arrive on speck and you may have to wait.
As the previous comment said, call and ask who is working on the day you wish to visit, mention day or evening. They usually do two shifts each day. Check out the reviews and book ahead. Both are safe with showers ect, good luck.
My preferrence is for Blair Street but only because I use a pub near New Town and don't want to get spotted.