My Poppy Build (Is It Good?)
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(depending on what the enemy damage type is and CC effectiveness)

I usually rush Zz'Rot (or shortly after boots) since usually these days Poppy is bullied during the laning phase by Ranged AD champions. Raptor Cloak provides good defenses and Zz'Rot has a lot of uses on Poppy, including some on demand terrain for her E to interact with. Trinity Force is usually the second item since Poppy benefits from everything it provides and she can make decent use of the Passives it provides. The CDR is really good as well. Black Cleaver is the second item so that I can get 40% CDR and become able to duel giga-Tanks to decent effect. Poppy is usually dealing decent physical AoE damage with her Q so the constantly active movement speed boost is great and the AoE armor shred is really amazing. Deadman's Plate helps with setting up E charges and Poppy just loves movement speed in general. It also further boosts my armor stat and gives a big boost to health that is needed going into the late game. Maw is the final item since Poppy can get a ton of MR for the shield from her W and Maw gives a ton of MR for her. She also benefits decently from the Spell Vamp provided by Lifeline and getting more AD can be really beneficial for pushing and securing objectives later on.
Tips?
these come to mind when I play poppy. I like a tiamet/ sheen for the early game, and glory maybe as a 3rd item.or 4th item depends on how the games going and the team fighting. I use it a lot on sejuani and it makes your engage feel so much more threatening when engaging :)
passive. Either get
is a better pickup, since Poppy's bases are really good and you are a TANK not a fighter. As a general rule of thumb, go

is strong as well and cheaper
that are needed for the game
(if jungling)