If the new promotion indeed requires you to level up three times in Poker, it will get harder and harder to get the bonus. Like Mafia Wars, leveling up in Zynga Poker requires more accomplishments (winning poker hands) as you obtain each new level.
Unlike Mafia Wars, however, winning a poker hand gets you the same amount of points at each level - so leveling up take a LOT longer as you go. For beginners, 3 levels (or 5) will go quickly... but if you've played for a while, 3 levels can take a week.
As part of the old Poker promotion, and apparently in the renewed promotion, you can also earn two exclusive weapons...
...as well as two achievments.
You can also access the promotion by clicking on the "exploding aces" when they appear in your Home Screen top bar. In the graphic below, the promotion icon is between the Lucky Stash slot machine and the Mafia Wars Live update icon.
When you click on the promotion, you will be taken to Zynga Poker in a new browser. Like Mafia Wars, Zynga Poker is free... with plently of opportunities to buy things. You'll see the screen below when you get to Poker.
When you've earned a Mafia Wars reward in Zynga Poker, I suggest you accept it immediately, rather than choosing the option of "Collect Later." When I selected the latter option under the old promotion, I often had search for a long time to find the Poker icon in Mafia Wars to do claim my reward.
Even if the rewards are lower and the achievement is harder than in the prior Poker promotion, this is good news - because I've really missed those nights with one browser open to Mafia Wars and the other to Zynga Poker... with my wife's divorce lawyer banging on our door.