I believe Abrams Park is in the village of Red Hook. It's a little to the north of the village center. Looks like a pretty quiet place with places to sit down, trees, etc. I haven't seen any ball fields or anything like that though. For athletic fields, looks like you'll find those between Red Hook High School and St. Christopher's School. There is a baseball field there, and next to the high school, there are soccer fields and a track, amongst other things.