This year, the Perseid shower peaks on the night of August 12th (Tuesday) into the morning of the 13th (Wednesday). Sadly, it seems the waning gibbous moon will be visible all night long, which is detrimental to watching meteors... but the Perseid shower is known for producing meteors which are so bright and numerous that it will still be worth heading out to watch.
I plan to go out for at least a couple hours Tuesday night, probably around 11:00-1:00 or so.