Also, too, and as well all mean the same thing. Generally, "also" is used before the sentence, or after the subject ("I also eat. Also, I eat"). "Too" is used after the sentence usually ("I eat, too"). "As well" is commonly used at the end of the sentence ("I eat, as well").
"Either" is basically the same thing as "also," "too," and "as well," but it is used in negative statements ("I don't eat, either").