If the temperature outside drops below 60 degrees, make sure the heat is on and set to 68 so that the pets don't get cold.
If
Current temperature drops below
This Trigger monitors your local temperature and fires whenever the temperature drops below the value you provide.
Then
Set temperature to a permanent hold
This Action will set your Honeywell thermostat to permanently hold the specified temperature until you change it.
Explore more great ways to automate Honeywell Total Connect Comfort and Weather Underground