Avenue Grill Cops, firefighters and EMS types flock to this time-honored cafeteria across the street from Central Police Supply. The cranberry carpet is well worn, and the wood paneling and tile ceiling have seen better days. But the Avenue Grill prides itself on its "greasy spoon" reputation. The television is permanently on, and it seems like somebody is always having a spirited conversation over at the counter. At lunchtime, the meat-and-three format (one meat and your choice of three sides) is executed in classic Southern steam-table style. The fried chicken, chicken-fried steak and hamburger steak are all good bets. The squash casserole is excellent, and the greens aren't bad either. The yeast rolls are outstanding. And should you find yourself downtown looking for an early breakfast, the Avenue Grill opens at 5:30 a.m.