What do you define a Moore space to be? A developable space? You know they aren't always metrizable right (e.g. the Moore plane)?

So you're trying to look for necessary and sufficient conditions for metrizability? I know that every locally compact and locally connected normal Moore space is metrizable, but that is merely sufficient.

I would suggest looking in Jstor or "The Handbook of Set-Theoretic Topology". Maybe even ask the memberPlatosince he is very knowledgeable (his instructor actually may have been) R.L. Moore for which these spaces are named after.