I actually soldered to the C6602 once, but I really can’t recommend it. It is nearly undoable. You will need a level shifter for your 595, the C6602 printhead takes 20V at high currents. the ULN2803A is what is used most. You can not trigger all nozzles at once. Not only will the cartridge itself not like it (it is designed for a cascading trigger), your voltage circuit will also not like it. Don’t underestimate just how much power inkjet uses, some printheads have recorded currents of 300mA per nozzle.
The C6602’s are quite fragile, but I have one that I have been using on and off for half a year now. But just in case, for the coming makerfaire this Sunday, I did prepare 2 more.
As for the picture: