If it were me I'd be upfront and honest with the new company before you start. Your current and soon to be former company could try to make things...
Unless you enjoy diarrhea I'd go with the meat and cheese.
I've used e-logs in some form or another since 2012 and have always done well in regards to miles and pay. I don't miss the days of doing paper...
It all depends also on what system you're using and how it's set up. I've had great success with the Qualcomm units. Usually go months at a time...
At a trukk stop you will more than likely walk in squares.