I'm not tied to my phone, and I have no pets.
I don't sleep well, but it has nothing to do with my phone. It goes on the charger at 10 PM with the ringer off. I use the phone for messaging (calls, text, email), navigation, and banking. All other apps either get deleted or turned off, so they stop trying to update or send notifications. I have no social media accounts and use my PC to search the internet, listen to music, watch movies, etc.
That said, screen time before bed (on a phone or computer) is known to disrupt sleep, so the underlying message of this thread is a good one.