Monitoring tool for web browser

I have to find a monitoring/testing tool that works in the browser and while you are browsing and make logs about the visited page

The main things i want in the logs are:

• How the DOM loads
• Any warning or error throw at the console
• The resources used in the page and the time they take to load

I've been searching but only found sites that analyze a fixed page and what I want is to generate the logs of any page that I go visiting

Know some tool that can be helpful for this case?