From what you describe, you will file part-year resident state return for each state.
Although there are some states that give credit for taxes paid to another state, this is only for a resident return. As a part-year resident, you won't be eligible for that credit.
Since you are now a resident of California, do the Indiana return first and then California.
You will be double-taxed on the income you earned in California during the time you claim to have been an Indiana resident.
