There is no definitive 'better' browser, only 'different' if taken as a whole. You can look at particualr attributes and come up with substantive reasons why one might be better than the other, but would probably have to bring other clients into the frame as well (Opera for security issues, for example.)
That said, I have had to do head-to-head reviews of FF and IE in my professional capacity as a tech journalist and FF wins every time... :)
Is that on your PDA, that cool. Well done jbennet you are very comitted. I just use the nearest PC which isn't normally more than ten metres away. I can see why you would want to have the same browser for both.
IE doesn't follow the standards for browser response to certain tags or CSS attributes.
For example, the width attribute is supposed to include any margins, borders, and padding, so the entire size of the object and its accessories fits inside the width. IE puts these attachments outside the width, making the object wider than specified.