I have a 60lb dog and shes mixed,any suggestions on where to rent that I could bring her with me?

Hello, I currently live out of state but am planning to move to the Lakeview area in Chicago in the spring/summer of 2019. I visit Chicago 2-3 times a year and have fallen in love with the Lakeview area. However, because Ive never lived in Chicago I dont know anything local, etc. I have a 60lb dog and shes mixed Australian Shepherd, Great Dane and Rottweiler, so far I have found it difficult to find a cheap apartment to rent in the area that allows her. Does anyone have any suggestions on where to look for a place to rent that I could bring her with me? Since this is my first move to Chicago, the cheaper the better right now. Are there any rental or real estate agencies that will help me find a cheap rental in the area, that allows her and available during the time I plan to move? Also are there any places that help secure a job in advance?Anything you can tell me will help me out and thank you in advance!