I have ridden for 10+ years and own a 05 R1 now. I started on Ninja 250 then got a Katana 600, then a Ninja 600r. If I knew then what I know now, replace the tires if they are older and a harder compound. You don't need racing tires but you need a tire that's not going to last 3000 miles. A dual compound tire is a good tire, harder in middle softer near edges, I run Michelin tires exclusively as they never have let me down no how hard I push them at track and street.
Drive defensively as other cars will not see or look out for you. I have had cars just pull in front of me thinking that "Ah it's just a bike and if he hits me I will be ok" what the fuck.. but that's the mentality of non-riders.
I would have to say of all the things in my life that I have done, sport bike riding is probably the one thing that is the best get away and feeling like you are doing something not everyone can do or care too. It's risky on public roads no doubt, cars, people, road hazards, dirt, stones, bugs grass leaves etc. Always wear your gear, no flip flops, shorts and tank tops. Road rash is not fun, and it hurts like hell while healing. Spend good money on a helmet, mine cost 600+ no including quick strap and other visors. I ride only with Arai but had an accident with a Suomy helmet and had no head injuries dumping a bike doing a standup wheelie at 80mph when a pot hole said you shouldn't be doing this on my road. People spend 80 bucks on a helmet, those people die of head injuries if they do get in a crash that involves head trauma.
One last thing.. it's not if your are going to wipe it or crash, its a matter of when. Never met anyone that has NOT took a dump on their bikes, some worse some stupid.. it just *will* happen eventually if you make riding a part of your life.
First thing I do to all my new bikes, replace chain and sprocket to my liking, buy my brand of tires, change brake lines to stainless steel lines and brake pads. Put a steering dampner on if it doesn't have one, tank slappers are no fun and if you get in one you wont be getting out probably. Maybe not required for this 600 but newer 600s and up definately as the power lifts the front weight and will cause tank slappers if the conditions are right.
There is so many more things you will learn and discover but for sure do not ever ride fearless no matter how good your are or think you are if your not riding a little scared you are riding above your ability and will wreck sooner then later. respect the road respect the bike and you will be fine.
If you don't know what a tank slapper is check this out not from hard acceleration but can happen anytime the front wheel gets light:
[video=google;1428325235202920383]http://video.google.com/videoplay?docid=1428325235202920383#[/video]