It would be easier to help you identify the meaning of the words you are asking about if you included some context they were used in however I'll take a stab at it.
Bump, generally used to indicate the amount of setback to a cartridge case when reloading. Normally measured in thousandths.
Up, probably relating to how much one comes "up" in their scope setting/sight picture, etc. Normally referred to in the context of "mils" or "moa".
Hold, again, dealing with how much one may be "holding" up, down, left or right of their target in mils or moa.
PM, I'm guessing this is referring to a "private message" which you can send to another forum member.
Yes, very basic stuff. Do a lot of reading here & more of the nomenclature here will start to make sense. Ask Google too (or SIRI). Good luck & for further questions use the context that was used in a particular word you are interested in.