You CAN boil and use a baby bottle sterilizer for the nebulizer cups IF they are resusable. I use Aeroclipse XL and have been doing both. I do the same with my Aerobika. I use the baby bottle sterilizer nightly (2 sets of everything) and boil once/week. I hope that helps. Having extra sets is a real time saver, especially on trips!
There is one FB site that says not to use the baby bottle sterilizer and only boil, but Dr. Falkinham tested the equipment and found the sterilizer did the job.
Deb