BinPoint tells you which bin goes out tonight and reminds you the day before.
Bank holidays: collections usually still happen. BinPoint reminds you to check that week, and you can change the day just for that week from the Schedule tab.
New phone: make a login in Settings › Backup and sync, then sign in with it on the new phone. Your bins, streak and badges come with you.
Anything else: support@nopointapps.com