Solving the cube one-handed is very different to 2 handed solving, while 3x3 PLLs can be used to solve OH PLL, some of the algorithms have moves or sequences of moves that make execution difficult. Hence, learning OH PLLs and the fingertricks are important.
H perm
R2 U2 R U2 R2 U2 R2 U2 R U2 R2
Z perm
(U) R U R' U R' U' R' U R U' R' U' R2 U R
Ua perm
R U' R U R U R U' R' U' R2
Ub perm
R2 U R U R' U' R' U' R' U R'
Aa perm
x R' U R' D2 R U' R' D2 R2
Ab perm
x R2 D2 R U R' D2 R U' R
F perm
(U') R U R' U' R' U R U2 R' L' U R U' L U' R U' R'
T perm
R U R' U' R' F R2 U' R' U' R U R' F'
Ra perm
R U' R' U' R U R D R' U' R D' R' U2 R'
Rb perm
R' U2 R U2 R' F R U R' U' R' F' R2
Ja perm
R' U2 R U R' U2 L U' R U L'
Jb perm
R U2 R' U' R U2 L' U R' U' r
Ga perm
R2 U R' U R' U' R U' R2 U' D R' U R D'
Gb perm
R' U' R U D' R2 U R' U R U' R U' R2 D
Gc perm
R2 U' R U' R U R' U R2 U D' R U' R' D
Gd perm
R U R' U' D R2 U' R U' R' U R' U R2 D'
Y perm
R2 U' R' U R U' x' U' z' U' R U' R' U' r B
V perm
R U2 R' D R U' R U' R U R2 D R' U' R D2
E perm
(U) R2 U R' U' y R U R' U' R U R' U' R U R' y' R U' R2
Na perm
R U R' U R U2 R' U' R U2 L' U R' U' L U' R U' R'
Nb perm
L' U R' U2 L U' R L' U R' U2 L U' R