For Kikonia (Ciconia, Kikones), a region of southern coastal Thrace (Barrington Atlas map 51 grid F3), see already kappa 1600, and cf. omicron 655 (adjective, omega spelling). The present entry quotes, unglossed, two phrases pertaining to things Kikonian.
For the wine, Adler cited the Ambrosian Lexicon (897). See also Etymologicum Magnum 443.7-10 (s.v. Thasos), citing Homer on its excellence and noting that in general the Greeks called it Thasian (cf. theta 58, theta 59).
For the bird, the Suda lexicographer provides no context, but a plausible guess is that the passage gestures at species from the genus Ciconia, in particular the Black Stork (Ciconia nigra) or the more familiar and gregarious White Stork (Ciconia ciconia); cf. Peterson, et al., p. 46. The breeding ranges of both species cover Thrace, and one of their principal migration routes is through the Bosphorus (Barrington Atlas map 52 grid E2) to winter ranges in Africa.