Need help choosing a battery for powering stepper motors

The current configuration I have is:

I’m not really sure what battery to buy for this configuration (i.e. what voltage and amperage?).
Could you please give me some advice on how to choose a battery for my configuration?

Since you have three ~1A motors, your power supply should be at least 4A. You can power it at anywhere from 2.7V to 12V+, the choice is really yours. If you opt for 12V, you would only need one power supply.