M.R.
Thimerosal has been removed from nearly all vaccines now; check with your pediatrician in case any shots that your child would get still have it as a preservative, and be sure that your child's records with the pediatrician clearly flag the allergy. It's in the allergist's records now, but that does not necessarily mean that the allergist informed the pediatrician's office of these allergies, so be certain that your pediatrician's office has the file flagged for the allergies; be assertive and don't assume that the ped. will have been told by the allergist.
If you look up "thimerosal controversy" on Wikipedia it has a good (and non-biased) summary about the whole "mercury in vaccines" stuff and the fact that today, virtually no vaccines now contain thimerosol. Some flu vaccines do contain it still, I think, but check with the doctor. There are several types of flu vaccines now so your child can get one without it, and it shouldn't be a big deal.
Regarding bacitracin, my husband has that allergy. It mostly means we just have to be sure to buy antibiotic creams etc. that do not contain it. In other words, no more Neosporin for him or for your child, and be sure to check labels--many if not most of the over the counter antibiotic creams and gels etc. for treating cuts contain bacitracin so you have to shop with some care. Again, be sure that the pediatrician AND the school nurse, Girl Scout leader, sports coach, etc. all know about this allergy-- you want to ensure that nobody, away from home, puts Neosporin or other bacitracin products on a cut. It's not a huge allergy to deal with since most bacitracin your kid would encounter is in ointments for cuts, but of course to be sure to mention if your daughter is ever hospitalized, and update your child's school and activity health forms to reflect both these allergies.
The post below is spot-on about the fact that mercury in food and thimerosal are different, so that's a good topic to bring up with your pediatrician. Your child might not have to avoid any foods at all.