Cincinnati no longer has any pool halls. Michael's is in Fairfield, probably about 10 miles north of northern Cincinnati. Lot's of tables, plenty of room and a bar.
Bocca Billiards is about 3 miles east of Cincinnati in Milford on rt. 28, just off I-275. It has 8 and 9' tables and a bar and there is House of Billiards, also east of Cincinnati just off of I-275 on rt. 125. It is smaller and sells beer with mostly 8' tables.
There is a bar in Sharonville, Peg's Pub, that has a number of bar boxes. Across the river in KY there is Hutch's place which is a smaller room that sells beer and maybe Red Eye. There also is Kick-shots on rt.18, also a smaller place that sells alcohol. Between the recession/depression and the ban on smoking in OH, they have completely devastated the pool scene. When I came back to Cincinnati, from Columbus, in 1997, there were over 20 rooms and now there are none.