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You can use ((sexy move) z2)^2 to get a 3-cycle on F, U and B centers. With a 1-move setup you get either CW or CCW rotation of 3 adjacent centers.

I can't figure out the set-up move because because I'm stupid. halp.
 
For those I'd probably just set up an A perm since it can be done with 2 moves.

D' L2 x R2 D2 R U R' D2 R U' R L2 F (13)
and
D B2 y2 x R' U R' D2 R U' R' D2 R2 U2 F' (13)

I'll look for some better ones...

EDIT:

z2 y' U2 L2 U R2 U' L2 U R2
and
z2 U2 R2 U' L2 U R2 U' L2


In case anyone wants yet another alternative: R'F' (R'2 F R) - U - R'F' (R'2 F R) - U'. A bit longer, but execution is easy.
I use this idea most of the time when I have 2 corners in U layer, and 1 in D. You can modify it to create other three cycles pretty easily.
 
R2 U (D2 L2 D2 R' D2 L' D2 R2) U' R2
L D F' R2 x F2 r U L2 u l2

I can't find a good alg for this L2L case.
it's a CO case (pi) that shoots BR to LF.

Help would be appreciated. The algs I have are disgusting.

Both of your algs do BR -> FL, not BR -> LF. Which one do you want?

EDIT: Checked your site and you have a decent BR -> LF alg so I assume you want BR -> FL.

EDIT2: In the mean time,

F (R U R' U')2 F' z' U2 M' U2 M z

or

F (R U R' U')2 b' M U2 M' U2 z'
 
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Stachu:

z' U L2 U2 L' U2 L' U2 L2 U' M' U2 M

z' U' L2 U2 L U2 L U2 L2 U M' U2 M

(U2) z M U2 M' U R2 U2 R U2 R U2 R2 U'

(U2) z M U2 M' U' R2 U2 R' U2 R' U2 R2 U


(U2) L' (U D') L' U R' U' L U' R D L

(U2) R' D' L' U R' U L U' R (U' D) R
 
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i'm having a lot of trouble with the E perm.... i can't memorize things very well and i don't like long algorithms which are more than 10 moves.... does anyone have a fingertrick friendly E perm? when i cheat and look at my algorithm sheet during the solve i use either (z) U2 R2 F (R U R' U')3 F' R2 U2 (z') or (x') R U' R' D R U R' D' R U R' D R U' R' D'. I just found the former one today so i'm not sure if there's an easier one.
 
I only like R2 U R' y (R U' R' U)3 y' R U' R2 and the x' RUD one you posted. If your bad at memorizing algs you could always do T perm U2 T perm for E perm, atleast for now.
 
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