TAKE:
This is a verb used when we want to say "carry from one place to another" (from here, to there)
So we might say: Are you taking an umbrella?
She will take the kids to school today
I will take the books to the library today
BRING:
This is a verb used when we want to express the action of "carrying towards the speaker" (moving from there to here)
So we can say: Can you bring the shopping when you come back?
The postman has brought some letters today
She always brings good news
FETCH:
This is a verb used for meaning "to go and bring back to the same place" (from here to there, and from there to here)
So we may say: Go fetch the doctor as soon as possible
Please, fetch a glass of water
The taught the dog to fetch the ball
I spent the whole day fetching and carrying