There are 'Flat Skis' and 'System Skis', flat skis are often twintips, fatter skis, etc., and they often ski best with a low stack height (binding pretty flat to the ski). A System ski is often more carving oriented, they tend to ski best with a little bit of added leverage of 'lift ... a flat ski can accept any non-system specific binding (any biding that basically screws directly into the top of the ski...) system skis need their dedicated binding. Sort of.
Anyway, you have a Bridge, a great ski. It is what is called a 'Flat Ski' so you have a pretty wide open binding selection, every brand makes a binding that would suit your ski. Start with brand preference, any brands you love or hate?
Next how do you want your new skis to perform? Do you want a playful park ski that can handle a little bit of everything the mountain has to offer or are you looking for an all mountain ski that carves well on groomers, slays crud, will be good in bumps and the trees and maybe can be skied 'switch' once in a while?
For park ski feel and performance, mount them as with a low binding in a more forward mount line. If you want a more 'all mountain' feel that carves well but is versatile, go with a rearward mount point and a binding with a little bit of lift.
... or buy a Marker Schitzo Griffen (it moves forward and back 6cm).