Presented by the Jazz Artists of Charleston, the Upstairs at McCrady’s series offers great jazz at McCrady’s this week and next, starting on Wed. May 25 with two sets from the Tommy Gill Trio. Other artists on this week’s roster include David Heywood, Regina Helcher Yost, Lee Barbour, Clay Ross and Matuto, Leah Suárez, and the Tyler Ross Band. The series continues through Fri. June 10. Most events feature separate sets at 7 p.m. and 10 p.m. The fourth annual Holy City Homecomin’ on Tusday evening features a program of original tunes penned by a variety of local songwriters. The house rhythm section includes three longtime local cats: Nathan Koci (piano), Kevin Hamilton (bass), and Ron Wiltrout (drums). Bill Carson (pictured), Cary Ann Hearst, Michael Trent, Joel Hamilton, Lindsay Holler, and Michael Flynn — colleagues from the local Shrimp Records collective — are the featured songmiths in the “Art of Song” program on Tuesday. The music starts at 7 p.m. Advance tickets to all Upstairs at McCrady’s events are available through the JAC box office. Call (843) 641-0011 for more info.