The thrust in the climb will always be at Climb Thrust. Normally 250kts is maintained until FL100 and then normal climb speed until initial Cruise Alt. 320 kts is fine for an estimate but it may vary according to the cost index. The pitch angle and rate of climb will all depend on the weight and atmospheric conditions. What I mean is for the given weight and atmospheric conditions at 320kts the rate of climb will be X. The constants will be speed and thrust settings and the variables will be pitch and rate of climb. A normal initial cruise alt will be between FL300 and FL320 depending on ISA deviation.
There is the option of using a derated thrust climb to save some money but the same principles apply just with less thrust set. It saves the engines but uses a bit more fuel and takes longer to climb.