Easter Eggers aren't so much a breed as a mutt- there is no standard for a bird to be labelled 'Easter Egger', and so they come in all types of colors and patterns and can lay blue, green, or pinkish eggs, depending on the bird. They're generally pretty curious, friendly, cheap, and readily available. As a bonus, because they're mutts a flock with a few Easter Eggers will still look distinct- two very rarely look identical, and if you're able to choose your chicks you can even choose ones that won't end up looking similar at all- some have muffs, some have feathered legs, some have neither- etc.
Ameracauna chickens are a pure breed of chicken that come in a few accepted color varieties and will always lay blue eggs. They have muffs, are generally more expensive, and depending where you live could be difficult to find. On the plus side, you'll know exactly what you're getting, and if you take care to source them from a reputable breeder then you'll be able to show them. If you ever hatch their eggs, you'll be able to sell the chicks for more, and you'll be supporting the breed. Be warned, though, that a lot of feed stores and the like will often mislabel Easter Eggers as Ameraucanas- if you want true Ameraucanas, check with the seller beforehand to make sure you know what you're getting.
Either breed is great choice- it just depends what you're looking for
