Save my corals

[canadianbudz604]

Looking for some advice on how to frag corals off of my algae infested rocks. I'm finally back from working out of town for good and want to get my tank in order.
There is bubble algae/hair algae/turf algae/anthelia Algae/Texas trash Palys algae everywhere lol. I'm in the process of moving stuff over to a new tank, but don't want any of the pests. Some are nice sized pieces but these pests surround them. What do i do?