My method is just for the F2L. for LL i use http://www.puzzlesolvers.com
I get the cross on white side (yes, always white. its a habit)
Now, i place 3 corners using whatever method u can. I just move pieces... no special algos needed. Leave 1 corner as a "working corner" that isnt solved. this piece will be moved alot...
I cant explain that good, but
Find an edge that is in the D layer that belongs in the Second layer. move the working corner by rotating U slice to the spot over where the edge belongs. Place the edge under the center piece color that is on the piece, that is facing downward.
Ex: Red/Blue edge piece, with Blue facing me, and red facing down. This piece would be positioned under the Red Center piece
now, turn down the face that doesnt move the edge you just placed, but DOES move the working corner to the bottom layer. Now, turn the bottom layer so that the edge piece from before, is now in the row where the working corner was. (this will be either D or D'. D2 will never be used)
Repeat for 3 edges.
First Layer (last corner)
Now, you have a working EDGE because we only solved 3 edges. Move this under the working corner, and solve that corner. Now, the F2L should be completely solved, except for 1 piece. For this piece, use the algs seen here: http://www.speedcubing.com/f2l_crosstop_print.html
i only use the first 3 algos. These are from Speedcubing.com