Curt Mangan nickel wound - 10.5, 12, 16, 26W, 36, 48 - on my teles and strat. The lighter B & G strings facilitate a bit of ease in playing pedal steelish bends. I like the slightly heavier E's. Haven't tried 'em on the LP, still playing DR 10s on it.
Change strings about a week before playing out so they're fully stretched out for better tuning stability. Otherwise, they get used until they're completely dead or one breaks. Every few string changes, toothbrush the nut, mask it off on each side with some wide painter's tape and spray some teflon stuff into the slots, also pull the string guide and spray the underside where the strings rub. Pencil lead works good too. Nothing bugs me more than a string that hangs up in the slot and makes tuning problematic.
Most often use the white teardrop-shaped Fender medium pick.
There's this kid that works at the local guitar shop, phenominal player, can play anything from jazz to old standards (he does a beautiful version of somewhere over the rainbow) to shred. A few weeks back I was in there and noticed he was playing with a strange looking pick and asked him what it was, and he was like "here, take one, I got a whole bunch of them," and I think he said it was made of buffalo horn. It's fairly thick at the top and has a concave to it that makes it nice to grip and thinner at the picking edge. It whittles down just like a regular plastic pick. Been using that a lot lately.
Happy THanksgivig!