Is there an app or service that can send an alert when coins move from a specific address?
The above recommendations look good, but are limited to getting notifications via email.
you can try @MagnumNotifierBot telegram bot as an alternative.
if you want BTC alerts try IFTTT, it works with the principle of "if something happens, then do something" and thus you can get a wide range of ways to get notifications "e-mail, a message in Twitter,facebook,...etc , send a tweet, alerts on the phone and many other ways."
You can try a lot of features. --->
https://ifttt.com/applets/187933p-notification-for-bitcoin-payment