You can always apply for regular admissions to dentistry when the time comes. In terms of in-state residency, since your parents are moving with you; you become eligible for in-state tuition the following semester. So, if you move in the summer, you can potentially be considered in-state by the fall. Your parents just need to be permanent state residents per state law which is more relaxed than university rules. You don’t have to wait the one year. They need to show that they are now living in Illinois. You will need to have copies of their new Illinois driver’s license/state id and so on. The worst case scenario is that you won’t be considered in-state until spring. You will have to petition for a residency change. http://www.uaps.uillinois.edu/students/residency/petition.asp
Here is some information about the waiver grant. You should contact financial aid for more specific information. http://financialaid.uic.edu/instgrants.shtml
The big in-state grant is the MAP grant.
Just remember to file FAFSA by the priority date and actually talk to a financial aid rep about your unique circumstances. Once you switch from OOS to in state, new funding can appear.