I am looking for a decent health club/gym located near to the Edinburgh city centre. I would prefer the gym to be upmarket.
If you just google 'Health clubs Edinburgh', you should get a nice Google map pointing to a few city centre health clubs.
Bannatynes Health Club ought to be upmarket enough for you. That's the one owned by the Duncan Bannatyne, the grumpy Scottish dragon on TV's 'Dragons Den'. It's been around for years, has a good reputation. It's at 43 Queen Street.