You've gotten a lot of good, and accurate information from the TFL crowd here. I want to reinforce the statements that Hep B and Hep C are more contagious than HIV, and can be fatal.
We teach our hospital attendants that anytime they come into contact with any body fluid, use what are generally known as universal precautions. That is use barrier techniques for management, cleanup and cpr.
Another issue that comes up sometimes, probably more since more people are using latex gloves, is that people can develop severe allergic reactions to latex. It wouldn't hurt to look for alternative material gloves -- I do not have a brand to suggest however. Maybe someone else can add info along that line.
Use a little common sense, manage the environment, think ahead and you should be alright.
Jim in IN