To engage normally use R then E right before you use Q and AA four times. W instantly after first swing of the eAA lands then AA again.
To all in with Flash, R then Flash AA. Activate E mid animation then AA 3 times before using Q. AA as soon as you come out then instantly W AA.
Use your Q to animation cancel the double hit. E then instantly AA three times. Use W quickly after the third and AA then instantly Q and AA again.
AA and E mid-animation, AA twice more then Q. As soon as you can AA and instantly W then AA again.
A normal fight is as simple as using E before your first AA, AA twice more and Q AA
Use W to cancel your Auto Attack. AA then instantly W and AA.