I've got a GIANT FCR3 road bike. Other than the frame what would be the next thing to swap to lighten the overal weight of the bike? Should it be the wheels first? In your opinion, what order would you begin with? I understand that unless I was racing, mere grams wouldn't make much difference but I carry a big load on my back to and from work and I'm uphill all the way home with a pretty big hill at the end. I think at this point every little counts...
I'm new to the bike world so please shed some light on this.. don't mind the pun

Thanks
Jay