You should take the new pill the next day after your last active pill of the old kind. As long as you took your old pills fine, then you will be protected when switching. The mini pill takes 48 hours to be protected. So you technically are protected to be on a break week, but taking the mini pill during break week makes you protected as well since you are protected on break week and taking the new pill. I think you are safe to start right away. No need to take the break week.