I am currently taking chantix to stop smoking and I'm also on steroids for bronchitis. Are these two medications safe?

Depends. Prednisone for short periods of time is safe. Chantix however is under scrutiny after a canadian study was published this summer showing a high risk of stroke and heart attack in patients taking the drug. Like all medication the risk must be balanced by the benefit. I have had a lot of patients have high success with chantix.