Price of copper tubing!

Yeah I have brazed plenty of sheet metal (steel) over the years, none recently though. Never tried to braze any other type of metal.
I know that with copper there is a type k,L and M kind of like pvc or steel with the different schedules, (40, 80, 120) for different pressure ratings, but are there different fittings L,T, cross, etc for higher pressure copper?

The OD on K, L and M are all the same. It's the ID that gets slightly smaller with the thicker wall. Don't use the M, it's about as thick as tinfoil.
I haven't seen any thick-wall fittings but then I didn't worry about it. The "normal" plumbing and big-box store fittings are fine!
I have run my (soldered) 1" type L system at 140 psi for years with no problems.