Wow, winter already?! Don't you get autumn at all?
Suzuki recommends 110/70 for the 3.0" front wheel and 140/70, 150/60, 150/70 on the 4.0" rear wheel for various models. Other sizes go on at your discretion.
Michelin Pilot Road, Pirelli Angel, Bridgestone BT-023, T30 are radial tyres, in order of alleged touring vs. sport performance. Maybe Avon Storm 3D. Pilot Road 4 has a "GT" version also. Most of these tyres are not available in the 110/70 size though.
Bridgestone BT-45, Dunlop GT501, Pirelli Sport Demon are cheaper cross-ply tyres with harder rubber that will last longer while notifying you of every bump on the road. They all have deep tread for wet performance though, and plenty of riders race on them too. Avon Roadrider, IRC RX-01, RX-02 probably compare too.
Shinko Podium is a cheap radial option, somewhere in the middle of all this.
http://www.gixxer.com/forums/showthread.php?t=234450Good luck!