Best kind of battery for electric motorcycle?
Lead or LiPo battery are available for such configurations.  You could use 4 "small" motorcycle lead batteries or a bunch of LiPo batteries.  In either case, you'll end up with quite a large battery pack, so you have to consider available space.

All your specifications are correlated, but not directly related to the battery pack: you need specifications of DC motor to estimate your range and maximum payload you may get.  First of all, your motor's torque curve won't be a straight line, it is a kind of S curve that ends in a parabola going downward.  Concretely, that means that you will need a base amount of current just to start moving and then the amount of current to accelerate is greater than the amount required to hold at 80kph.  You have to check you real world usage to determine your battery pack size.  If you are in a city stopping frequently, you'll end up using a lot more power than if you are going constantly at 80kph for 60km on a road/highway.

If I were you, I'll start looking into that first, because you look like you haven't considered that.  Those factors will determine the mAh rating required for your battery pack, which will determine the actual size of the battery pack and finally the actual range that you can realistically target for a given battery pack size.  Sure you can get a very large battery pack, but it will have a significant weight and price...