Hybrid AD. Build Triforce and Gunblade then go AD.
Poppy is screwed over by Darius and Teemo because she has a horrible early game. This is the reason you don't see Poppy being picked that often. If you do somehow manage to make it to late game, ult the carry and farm champions all day long.
Edit: Forgot to add. Barrier can help her horrid early game and ignite is awesome with her ult so take those two. --- Not happy with committing just murder, he had to go and dirty the courthouse, too!? GUILTY - Judge
Make sure to include an AP variant for lulz! What rune page/pages do you use for her?
For masteries, I use 14-16-0. Get the HP + AR/MR + Tenacity and champ damage block. Then get CDR + both penetration passives in offensive. --- What do you do when faced with two choices? Simply toss a coin. It works because in that brief time that the coin is in the air you know what you're hoping for.