I actually had bronchitius when I was about 19-20 weeks along. It was NO fun.
My OB told me it was ok to take tylenol for fever, and robotussin, and she also put me on an antibiotic. Your OB may feel different. I'm pretty sure if you just call your Dr or OB, and ask, they will let you know what is safe. Also you may want to go to like, walgreens or CVS and ask the pharmacist.