1. I will visit my grandparents next month.

2. I intend to visit my grandparents next month.

3. I am going to visit my grandparents next month.

(Does #1 mean #2 or #3 in meaning?)

2 answers

All are correct, and all mean the same thing.

=)
#1 means that you are going to visit but still not sure. there is a bit of uncertainty in the sentence itself

#2 you intend to, means you have a plan to,

#3 you are going to visit means you are confirmed to visit.

hope that helps