I used to get nose bleeds. UGH and I'd just do as amber said and lean forward. If you pinch at the upper part of your nose that can help too (while leaning forward) the part where the little nose piece of glasses would sit. If you keep getting them see a doctor you may have an allergy or soemthing and this annoyance could be eliminated.
As for swallowing blood ... eww lol. I've done iton accident at the dentist and neveer got sick so you should be ok but don't do it anymore just spit it out in a napkin or something. Plus if you aren't tilting back and do th lean forward you shoudn't get any in your mouth.
Hope this helps.
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