I had the 750 version (99 model) and managed to find an American website devoted to the GSXF range (known as the Katana in the US) and they had some great information about upgrades, tyres, styling etc.
http://www.katriders.com/
Anyway, one of the biggest and first mods they recommended was switching the tyres to a wider, lower profile..on the 750 it was to a 120/60 on the front and a 160/60 on the rear standard on the rear was 150.
What this did was make the bike feel much much more planted but it was also lower, meaning the side stand was a bit of a pain as it was slightly too long.....but I found it well worth the change.
It also meant i had much more tire choice at a cheaper price.