I would sugest Chrome or Firefox then as they are on every device and if you have an account your bookmarks go to every device. They both also allow for continued browsing on any device. Basically I can get on my phone and pull up what I was looking at on my desktop or another phone or a tablet. Nice thing about chrome is it will store your passwords as well, so no guessing on what they are when you go to other devices. ANother thing about chrome is it allows you to temporarily log into other chrome browsers. So if you are at a friends you can log into their web browser and get all your bookmarks, passwords, and access to all of your devices on his web browser and when you log out its all gone from his browser.