Lookup “Set View target with Blend” aswell as “interpolation”. Your Points can be Transform or some Camera Actor. Once you click your Button to store your Transform in a Variable or move the Camera you want to Blend to to your current Transform. If you decide to go with interpolation you probably want to use a Timeline for that.
Play around its not that Hard to Set Up. If you get Stuck Post me what you got so far and I will Guide you in the Right direction.
Good Luck and have Fun =)