Ive had everything. I had Hep B before diagnosis and a booster post diagnosis. Following diagnosis I have also had Hep A for travel, two further MMRs as I wasnt immune to Mumps and had BCG at school and never had any problems following except for the sore arm. You will have a Mantoux (skin test) before the BCG to check for possible immunity.
Personally knowing how infective Hep B is i had the vaccine (far more infectious than HIV and Hep C, bth of which there is not yet a vaccine). The infection can live on a had surface for 28 days and you only need a spec of it to infect you!! It was at some point thought to have triggered MS, but after Id been diagnosed Ididnt see the harm in having the vaccine. Unfortunately there is not much evidence to support this and also until the know what causing MS it is very difficult to say it is that which caused it. I think I would also prefer to havre MS than Hep B which can be fatal and also infect your family.
I have my flu vaccine every year and have ensured my daughter has had both MMRs despite there being controversy surrounding both. I do believe in vaccine and would personally have a reaction than actually get the illness is it protecting me from as that could have a worse effect.
I would weigh up all the pros and cons and understand what you are being vaccinated against and why, after all you want to make an informed choice as you need to feel confident when working with people that are considered to be at risk, especially if you have a contact with bodily fluids.
Good luck. This is entirely my personal choice and Im sure there are others who would disagree with me.