I used to play egg druid back in wild, and I had quite a lot of fun with it. Therefore, when standard was released and egg druid lost a lot of its cards, I was quite sad. However, I have finally came around to making another Egg Druid deck, this time for Standard.
Basically, this deck relies on a strong earlygame and buff spells to get favourable trades and make more tokens with Dragon Egg. The mid-late game is all about trying to get as many tokens as possible, and then comboing this with cards such as Power of the Wild, Savage Roar, Cult Master and Soul of the Forest. Your win condition is Savage Roar.
Generally, this decks looks to have a strong earlygame with many token minions, which can then be buffed in the lategame to overwhelm your opponent.
Mulligan hard for your earlygame, keep all 1-2 drops and dump everything else, even with coin.
TLDR, midrange-aggro hybrid druid+dragon eggs. Get tokens and redeem prizes.