Any make will do as you can buy different heads for the tripods to suit different attachments. I don't know what attachment the Fuji is although I have a funny feeling that it's the standard 'screw in' one found on most larger cameras.
What tripod to get depends on what you need. If absolute stability and durability is essential, for example a lot of outdoor work, it might be best to get a larger, heavier construction tripod. The downside to this is that they are usually expensive and heavy to carry around. On the other side you can get smaller tripods designed to be carried around but these are usually less stable and more flimsy, although you can get more expensive ones which are a good compromise.
Makes to look at are Velbon and Manfrotto. The Manfrottos are more expensive but better built. I personally have a Velbon Sherpa 250R which is made of aluminium. It's large and stable enough for most work but is a bit on the heavy side, maybe a bit too big to carry around everywhere.