Doesn't your old computer store bookmarks, passwords, and logins? Install that browser on your new computer, log into your browser's account, and sync it to the new computer it will save a lot of time.
Well actually it's not your old computer that syncs, it's the browser you use. If you use Chrome, for instance, you sign in with your google account. Then Chrome knows all of your bookmarks and loads them exactly like they were on your old computer. Firefox is the same thing. Not sure about Edge or whatever the Microsoft brand is because I don't use it.