I use this app to redirect specific email selected by AppleMail rules to an email address provided by Prowl. This pushes the email to the Prowl app on my iPhone and notifies me by sound/vibration on my iPhone and AppleWatch. It was drop-dead simple to set up, and Prowl provides as many email addresses as you need.
I’m using this to replace similar functionality of Boxcar, which has disappeared from the App Store. Do note that Prowl is much more capable than what I’m using it for.
Sarpent about Prowl: Easy Push Notifications, v1.5.3