If I had a cyano problem...
1. Manual removal - cyano stores nutrients for later use, physical removal will export a lot of nutrients.
2. Remove as much nutrient and stored nutrients as possible - lower phosphates and nitrates using GFO and organic carbon dosing respectively
3. Siphon/clean sandbed - siphon a section of the sandbed each week with a gravel cleaner
4. Skim, Skim, Skim - Unless you have neck cleaner, clean the skimmer twice a week
5. Increase pH (if possible) - A higher pH (8.4) will help eradicate nuisance algae. Carbon dioxide can build in the home and suppress the tank pH.
6. Maintain lower nutrients and good husbandry - keep stable water parameters and the corals will thank you.
Know your path and follow it.