Cheap Apartments For Rent In Suisun . Remove some filters, try another search, or check out the options below. On the average rent for a studio apartment in this neighborhood is $1,837, and has a range from $1,475 to $2,015. Heritage Commons II Apartments for Rent 193 Heritage Ln, Dixon, CA from www.zumper.com Suisun city 1 bedroom apartments; The median gross income for households in suisun city is $66,452 a year, or $5,538 a month. Apartments for rent in suisun city ca.