Steps u can follow to design an amplifier:
1) Decide with the architecture of the opamp which meets your specifications. Like Single stage opamp, two stage, Folded cascode etc.
2) Determine the type of compensation needed for your specifications. This depends on how many stages your opamp has.
3) Hand calculate the current, voltages etc according to your specifications and then size your transistors. For eg, if you know your slew rate and output cap from specs then you can decide upon your current.
4) Run simulations for variety of test cases to determine PSRR,ICMR, Slewrate, BW etc.
In your specifications, I think you can decide upon a two stage OPAMP with PMOS input diff amp(coz of the ICMR range). Also as your gain is high, u can go for a second stage(CS stage).But, I dont know whether your CS stage can give u an output voltage swing of 1.7V. As far as your compensation, I think a NMC compensation will do.