take means to move the object away.

But one of the definitions of take (in Webster's) is: to convery, lead, carry, or cause to come along with one. So you could conceivably "take" something with you to go somewhere.

I'll use bring when I say something like "I'll bring the salad." but I'll use take when I say something like "don't forget to take your umbrella with you."



I don't understand your "introduce" pet peeve though TEd. I'm sure I'm misunderstanding something in your sentences.