Ah ok - do you have a picture of the front of the valve? Will help determine what version it is.
Most of the exposed bristans use a compression fitting arrangement so they must be something similar to plain ended flexi pipes
Something similar to these possibly -
View attachment 383498
So the nuts on the elbow will be compression and the flexi's plain end is basically held in by the nut and an compression olive.
So water off undo the nut and the nut/olive and flexi should release out the elbow. It all depends on whether the new shower's fittings match the old one if the old nut and olive can be re-used (with some PTFE tape on the olive). If not then the nut and olive need to be removed and the new shower's ones used. The flexi's, if plain ended, should be ok to use if not damaged/marked badly