Against lulu, When playing melee champions, do not let Lulu bully you down with auto-attacks. When you’re not looking to engage, stand back so she cant auto-attack you. 

Waiting for Lulu to use her E before fighting or poking is a good way of coming out ahead. Try to bait this ability out and then play aggressive while it’s on cooldown.

Post 6 and when Lulu gets her Ultimate R, her survivability increases a lot. Keep in mind that it’s going to be difficult for you to kill her when her Ultimate R is up. Do not commit to the all-in unless it’s down or she’s out of mana. Against lulu, When you're not looking to commit yourself, then step back so that it can't attack you automatically. Until Lulu uses his E before fighting or throwing is a good way to get out of the front. Try to lure that ability and then play aggressive as it cools. Post 6 and when Lulu gets his Ultimate R, his survival increases a lot. Keep in mind that it's going to be hard for you to kill her when her Ultimate R is up. Don't commit to the whole unless he comes down or she comes out of mana.