This reminds me of one particularly intense semester I had at graduate school. Trying to get a design project completed, a lab partner and I spent three days straight at our campus.
At one point in time, the lab director (who liked to run a pretty "tight ship"), looked at our sundry items strewn messily across a table, and said with an annoyed and disgusted voice, "Gee, it looks like someone is living here!"
We were taking an exam at the time, but a friend overheard the remark, and came to our defense, answering, "Actually, sir, I think Greg and Jim haven't been home since Tuesday."
"Oh!" the director replied, "Well, if they are living here, then that's okay."
In any case, if I were describing that situation, I could say:
I had not been home since Tuesday.
or:
I had not gone home since Tuesday.
and either of those would be equally appropriate or correct.
"Been home" implies arriving at my house; "gone home" implies leaving the lab to go home. In this context, these both imply the same thing – leave the lab to go home – so I can say it either way.
Best Answer
"Take an umbrella" means to carry it with you when you go from here to somewhere else.
"Get an umbrella" means you don't have an umbrella here, and you go somewhere to pick it up.
Of course, we often use these words more metaphorically so that "here" and "somewhere else" might be very close to each other.