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you should design operational amplifier with high gain 50 to 60 dB sufficient. depend upon input voltage decide whether you want to implement P channel or N channel opamp.
Initially, come up with overall band gap specifications like power dissipation, supply voltage, accuracy and other factor according to that decide specs for operational amplifier
Which one? the one closing the loop or one used to lower output impedance?
If it is the first one, you have to take into account the offset, remember that any error introduced by this opamp is directly going into the output voltage, also stability and noise contribution (if that's an issue for your design)
If you were talking about the other one, then again the error introduced would probably be the defining point
how much noise should we consider for example if the noise going into differential input of amplifier?,if the gain of the amplifier is very high, then the input range of the amplifier is small, distortion will occur at the output voltage if the noise causing the input voltage exceed the input range. am i right?
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