I must use the Verizon Message web page to send messages during the day when I'm at work. I have to log in and out of the page periodically throughout the day. Every time I log back in, I get an annoying text on my phone that says "Your Verizon Messages account was recently accessed from a new browser or device" even though I'm using the same browser each time. How do I turn off getting these notifications without turning off "real" notifications?
You can't. This is one of the safety measures in case someone accesses your account without your consent. Every time someone access your Verizon Message account, a text will be sent to your device.