For speed, safety add on compatibility you can try Mozilla Firefox.
It rocks on all type of connections and is fully customizable with thousands of
add-ons and themes.
It is truly fully loaded, robust and secure browser.
If you are on a extremely slow connection you can also try 'Google chrome'.
I have tried many browsers and find the best by far is Mozilla Firefox. It has Less chance of crashes than IE and protects or foretells the user if there is a threat on the site it is being directed to.