Search for 2 bedroom apartments in Lincoln Square. The average rent for a 2 bedroom apartment in Lincoln Square was between $1,300 and $1,600 at the beginning of 2019, making this northwest side neighborhood slightly more affordable than other popular neighborhoods in Chicago. And because the area is well connected by public transportation and close to the North Branch of the Chicago River, this neighborhood is one of the best values for Chicago apartment renters. Quiet side streets are familiar sights for apartments in Lincoln Square, as is the quaint business district around the intersection of Leland and Lincoln Ave. Family-owned businesses that have been in operation for generations are another distinct feature of renting an apartment in Lincoln Square, and locals love supporting their small businesses in this part of town.