There's any number of alternate browsers you could try, better is a very subjective word and open to all sorts of interpretations, which one will suit you only you can decide. I've included links to a few of the more common ones below (I presume you've already tried IE) ....
http://www.opera.com/computer
http://www.seamonkey-project.org/
https://www.google.com/intl/en_uk/chrom ... /?hl=en-GB
Switching is just a matter of installing them and following the appropriate instructions during the install process. Most will allow you to migrate settings from your current browser during the install.
As far as Chrome goes, I'd read the EULA before you install it, and make sure you're comfortable with it. Personally I find Google's conditions far too intrusive for me to ever want to install it on my machine, but many are happy to browse with Google "looking over their shoulder", and think that Chrome is the bees knees.