A full seven buses depart daily from the main bus station and stop next to the rail station for Kostroma 2.5 hours, ~250 RUR. Another four buses travel to Vladimir.
Regional buses also can take you to nearby Palekh, which has much more charm than Ivanovo, and is a center of Russian icon and miniature painting.
A Taxi to Moscow will cost you about 4000-5000 Rubles depending where you wish to go.