How much to get your gun tune?

I can only tell you about USA tuners.

A. Alan Zasadny: Can do anything you want tuning or huge modifications.

B. Ernest Rowe: Excellent tuner at optimizing performance of whatever gun you send him.

I apologize but I’m not in the know on much anything FX. You’d be paying your own shipping both ways. Ernest is more affordable than Alan. 

I’d estimate $150-300 for basic tune of your factory rifle but FX has a lot going on inside so I could be wrong.
 
oi we got names of the tuners ... but where is the contact info ph/webpage/email .....etc

Most don't have web pages and a few are contacted by phone only. Most consider tuning a dark art. In reality it's a matter of recording every change you make and patience to reach the desired tune. Some use off the shelf parts others scrap most of the factory bits and make truly custom upgrades. There are pros smd cons to each path which can make picking a tuner difficult.

Back to your original question. There is no directory of airgun tuners. 
 
Scott Schneider aka "Motorhead" is in California, he has done pretty well by me. He's also a national class FT shooter. If you're looking for work on an FT gun, can't think of anyone better.

I've never dealt with him, but another guy named Will Piatt seems to be legendary with the Sam Yang guns.

I have a friend who used "John in PA" for a springer tune and was quite satisfied. His is another name that comes up a lot in discussion of trusted tuners. I don't know his full name, but I think he has a presence on GTA.

Allen (?) Zasadeny is another guy who is kind of an industry legend...and another guy I haven't dealt with personally. Others might know how to get in contact with him.

David Slade at airgunwerks.com - I think he used to be "the" tech guy at Theoben and is another industry legend.