In what area of the city? To rent or purchase--sounds like a rental. What is your price range
Yes, there are definitively one bedroom apt's for rent between $1,700 and up.
They are renting very quickly---so you should get started now to move by mid-June.
I specialize in the Gold Coast, Streeterville and River North.
Let me know if I can help---contact me at 312-893-3529 at Koenig & Strey, a great real estate firm!