Can the father of my child cause any problems if I move out of state with her?

If you have custody of a child in Indiana, you must comply with the relocation statute:  Indiana Code 31-17-2.2 for parents and 3101705 for grandparents with visitation rights.  Requirements include specific timelines for notice to the other parent and the specific items you need to incude in your notice.  The  notice also should be filed with the Court.  When you read the statute, you will note that the other parent has a time period in which to respond/object.  Either of you can request the Court modify the parenting plan.   Failure to file proper notice may subject you to orders to return the child to the state or other consequences depending upon the circumstances and what the other parent chooses to do about the move without notice.  Some of those are also outlined in the statute.  A history of not spending time wiith the child does not exempt you from the notice requirement.  I suggest contacting an attorney to assist in properly filing the notice.