I am not sure what you mean by "all my information is displayed", but I can guess that you accepted the default install option of staying logged in even after the browser closes. I recommend turning that off. Click on the LP icon, select Preferences. Check both Security boxes and enter 0 in the field for "Automatically logoff when all browsers are closed". For the idle timeout, I use 120 minutes (two hours), but you can pick a value you are comfortable with.
If you do this, you will have to log in to LastPass each time you open the browser, and also if you are idle more than the set time.