R2, 3 cycle, or Pochmann for corners?

[Stefan]

for something like LDF, I just do D R Y perm R' D'.

For that I'd use:
D2 (R2 U' R' U' R U R' F' R U R' U' R' F) D2

Or with the J:
F (R' U L U' R U2 L' U L U2 L') F'

Also try these:
FUR: (U L' U2') (R U' R' U2' L) (R U' R')
FLU: (U' R U' L U L') (R' U2 L U L' U')
UBR: (R' U) (L' U2') (R U' R' U2 R) (L U')
LUF: (x U' L U L') (U2 R' U' R U') x' (U L' U' L U')

 

[ROOT]

i use all three combined, except instead of R2 i do D2, but that depends on the situation.