Basically any up-to-date browser (EXCEPT the dreaded Internet Explorer!) should be good enough. The actual selection is all down to personal choice. I use Firefox because:
(a) sites load quickly in it ;
(b) there are more add-ons available for it than any other browser ; and
(c) I like having the good old-fashioned menu bar (File, Edit, etc) available at the top of my screen.
(If you decide to try Firefox, use the link from
this page to ensure that you get the British version:
http://www.mozilla.org/en-US/firefox/all/ ).
Chrome is a decent browser but has fewer add-ons available (and I find it less intuitive to use).
K-Meleon is a 'light' version of Firefox, which is incredibly fast. SeaMonkey is somewhat similar. (SeaMonkey Portable can be loaded onto a USB stick, so that you can have your bookmarks and settings available to you irrespective of which computer you're using).
However iGoogle isn't a web browser anyway. It's a personalised page which can be viewed in ANY browser. The nearest equivalent is igHome:
http://www.ighome.com/