Any quat ammonia product can be used, or other ammonia cleaner can be used and is effective. The disinfectants used to routinely sanitize bench and counter surfaces are still the ones we should be routinely using. There is no need to bomb, fog, smog or otherwise blow-up the rooms. Eggs are best removed by good housekeeping practices. Wipe down the surfaces before and after use.
Eggs die on their own after several weeks.
New eggs should not be produced by anyone if they are all on medication, and if everyone is cooperating. Keep things clean. Use the disinfectants. Make sure you know the status of your animals. You should be just fine.