The waterfowl season for the northeastern and southeastern zones are open Oct. 8. I don't have a hunting syllabus right here, but I know squirrel and rabbit, grouse and turkey will be open in that area. There are some state land WMA's not too far from Pulaski that are great for Grouse (especially Happy Valley). I think Pulaski is considered in the Western zone and therefore doesn't open until Oct. 22, but you may want to call one of the shops in Pulaski to make sure.
Has all the season information on it under hunting seasons. If Pulaski is in the Western Zone then you are still only 15-20 mins. away from the Northeastern for ducks.
Hope this helps.