Micro-algae comes in many forms, so it's easier to classify it as "nuisance" algae. Cyano is a bacteria with an algae-like form. In addition to blue-green, cyanobacteria can be black or even red. It can be harder to get rid of than algae. It feeds mainly on Phosphates, so if you reduce Phosphates, you should be able to reduce or eliminate Cyano. Reduced lighting and feeding will help. There is a product called Chemi-Clean that will help get rid of it if you don't mind using chemicals in your tank, but you must follow the instructions exactly. If you're planning on rebuilding, I would just wash the infected pieces in fresh water before putting it in the new system. I just scrubbed a large rock in warm tap water to get rid of hair algae, rinsed it in some salt water, and put it back in the tank. Algae is gone, vermetid snails survived, and I lost no coralline algae.
If you get a sump, you'll want to get a decent skimmer. I finally got my new skimmer installed after running in a tub of saltwater for a month to break in the pump. It's pulling a ton of junk out of my system, which is exactly what it's supposed to do. It's an amazing skimmer, and I'm extremely glad I upgraded! But yeah... I suggest you get a skimmer instead of an HOB.