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The effect of a big bright moon can be every bit as troublesome as the effect of city lights without moon.
Since you're stuck with the moon, the choices are:
(1) As Colin said, bright broadband targets, like open clusters and bright galaxies, preferably those in a different part of the sky from the moon. There is no filter that can block out moonlight but let the light from a galaxy through.
(2) Emission nebulae through narrowband filters, most particularly H-alpha, and again in a part of the sky furthest from the moon. A 6 nM wide H-alpha filter can let through say 90% of the light from an emission nebula, but block out all but 6/(700-400) = 2% of the moonlight.
Hope that helps.
Have fun!
Mike
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