I remember how complicated restringing was the first time I did it on a Floyd. Took all six strings off, the bridge slid all over the place, then trying to lock the strings into place and somehow jam the bridge back into position. Then realizing that since I went up a gauge in string the action was mile high. It was like a two day adventure.
Now I just depress the floyd, take a metal back plate, slide it between the floyd and the guitar body, take all the old strings off, put all the same gauge of strings on and I'm done in ten minutes. Maybe about 2 minutes longer than restringing a hardtail.
There's definitely a knack to it.