Hey SH80!!! Try Gillete Venus Razor and either Skintimates Shaving Gel or Gillete Gel...they are wonders!!!!!
About the bumps (they are probably ingrown hairs), to sooth them...apply lotion (especially a exfoliating one, like one that contains AHA/BHA) after shaving!!!! And, I think you should shave versus the way the hair grows?
Hope that helps some!!!!
With the combo of the Venus razor and the gel, I've had no problems at all...no ugly nicks at all either!!