Hi,
All information refers to your application.
Voltage: What power supply is available? Single, dual, stabilized...?
Current: how much current do you allow your application to draw. Especially important for battery operated systems.
Noise: you want to measure a signal. How much noise can you tolerate on this signal? Mainly your Opamp input noise. But for sure: if the power supply is noisy, then you need to choose an Opamp with enough PSRR.
Offset and drift: if you are interested in DC of your signal, and you want some precision, then you need low offset drift.
Frequency. Of your signal. You need to amplify this, so your Opamp needs enough GBW and enough slew rate.
--> Before you can select an Opamp you need to know the specifications of your application. No one of us can tell you this.
Klaus