The ZZR-600’s a nice looking bike and definitely a different kettle of fish from your old Honda, but it sounds like you’re getting to grips with it all right.
I used to have to do the trip meter thing with my previous two bikes but watch out if/when you take it to a dealer for any service that requires them to take the tank off, as they may not put back in all the gas they took out. This happened to me once on a bike with no fuel gauge. Fortunately, I had practiced reaching down and flipping the pet-cock to reserve, so I could make it to a gas station.
Re. lubing the chain, you might find it easier and safer to buy some spools and a rear stand if you’re not going to fit a center stand (many don’t because it adds weight and reduces ground clearance). T-Rex Racing make a sturdy rear stand that’s quite a bit cheaper than the well known brand.
Have fun and take it easy until you get used to your new found power 
