The poets themselves, you mean? Very, very little. Most of them are just names. Here's a reminder of who these names are: you'll notice that there's inconsistent testimony as to the attribution of the poems; I put in bold type the names most usually associated with the poems by modern scholars.
(Opinion is divided on the most likely author of the Kypria.)
Of these, only Homer has a well-attested background (mythical though it is): a rich biographical tradition is laid out in the ten Lives of Homer and the Contest of Homer and Hesiod, which can be found conveniently in West's 2003 Loeb edition.
Other than that: Kyprias of Halikarnassos became something of a hero figure for the Halikarnasseans, as evidenced by a 2nd-century-BCE inscription which claims him as one of the famous sons of that city (though it places him second after the 5th century poet Panyassis, author of a Herakleia). The Byzantine Souda encyclopaedia dates Arktinos' birth to 744-741, Eusebios puts Arktinos' floruit in 775-759, and Dionysios of Halikarnassos refers to Arktinos as the earliest poet known to him; and Eusebios puts Lesches' floruit in 658-657, and Eugammon's in 567-566; but all of these are totally untrustworthy. If the Telegony was really written by a Cyrenaean, then it must be later than 631, as that's when Cyrene was founded. Clement of Alexandria mentions a tradition of a poetic duel between Arktinos and Lesches.
And that, I'm afraid, is pretty much it. Homer, Hesiod, Linos, and Orpheus are the only early epic poets about whom we have much (mythical) information. We have names of a dozen or two other epic poets from that era, but again, they're mostly just names.