1. I'll remember to see the movie with my friend.
2. I'll remember that I have to see the movie with my friend.
3. I'll remember that I will see the movie with my friend.
4. I'll remember that I must see the movie with my friend.
(Does #1 mean #2, #3, or #4?)
#1 means approximately the same as #3.
#s 2 and 4 carry a more constricting sense to them -- "I have to see..." and "I must see..."