"I intend to ___" means "I will ___". Use it to annouce something that you've decided that you're going to do.
This way of speaking sounds formal and confident, so politicians often talk about things that they're going to do with "I intend to ___":
I intend to fix our nation's schools.
Someone like a sports coach could also speak this way:
I intend to go out there, play hard, and win.