Interesting question.
When I was on my treatment to fight my mets, I was on weekly dose with all the chemos. During that time I bruised VERY easily and did seems to bleed more.
Now that I have been on the 3-week dose for 2 years, I do not have the bleeding-more-easy problem. But - I do still bruise fairly easily.

About my gums. I have been using Biotene toothpaste and mouthwash since my original diagnonsis (recomended by a jaw surgeon friend). This has been very good and my oncologist was impressed with the results. No gum bleeding as before on the regular toothpaste.