Welcome :)
I'd start by thinking about a set of Mules - they sound great in Les Pauls through clean Fenders, lots of harmonic detail with just enough weight in the mids and bass to be nice and fat, not muddy like most LP pickups.
Dirty they can handle the lot, with tone to die for. What they don't do is help you allong like a Warpig or Miracle Man, those pickups almost playthemselves with distortion, but they've not got the all-round tone of a Mule. The Mule works with you, it's dynamic so when you dig in and play loud the Mule responds and grinds, when you pick light it cleans up - a great pickup, very versatile, check the clip in the players section!