in that neighborhood the subway is very safe, if you are staying at the fourpoints sheridan go west to state street then south to grand, short walk only like three blocks, that subway entrance is under construction but open, make sure you go down the escalator or stairs for NORTHBOUND HOWARD, if you re staying at the towers on northwater go west, cross columbus drive walk thru cityfront plaza continue thru pioneer court then walk north on michigan avenue to grand, go west to the same subway entrance, I was just there couple days ago and pretty sure all four stairs were open, take northbound howard six stops up to addison, practically in wrigley field
From the Sheraton, the easiest way is to walk directly west to State St and take the Red Line subway train north to Howard St. State Street is a couple blocks wast of the Sheraton and is an easy walk. Subway entrances are located at State Grand on each side of the street. Exit the Red Line train at Addison. You ll actually see the park from the train and station as the tracks are above ground at that point. The fare each way is $2.25.
I don t think you would need a bus to get to Randolph Wabash. It s up the stairs to the Brown Line. Take that to either Fullerton or Belmont where you transfer (it s on the same platform) to the Red Line. It s only one more stop after Belmont so be ready to exit right away.
Take the Michigan Ave. bus to the Lincoln Park terminal transfer to the Clark Bus go to Addison drop you off right in front where you need to go. L.B.J.