In the case of most sites, they state on the payment form under what name the payment will appear on your statement, and in most cases it is certainly not the name of the site. All you need to do to find out is to go through the motions of joining, filling in the details until you see where the relevant information is. If you don't like it, you can always pull out before completing the purchase.
As regards the other part of your question, ie. which the best site is, I hope you are not looking for objectivity - because this is really more a question of your personal tastes than of an overall preferance. Take a look at the TMF Links and also the TMF paysite reviews. They are not comprehensive, but give some idea of the scope. Or otherwise, state clearly here what kind of thing you are looking for, and I am sure many will be able to advise you. There are a lot of really good sites out there - they'llo probably have something for your particular taste.