Judicial determination simply means that a judge has ruled on the matter and entered an order. I do not have access to the local rules in your area to know if there are visitation guidelines, but usually the baseline is one night during the week and every other weekend after age one. Many jurisdictions do not allow overnight visitation with a child under age one. Also, guidelines are often viewed as a floor, not a ceiling, as to how much time the non-residential parent has with the child, particularly after the child turns one.
If you can reach an agreement with the father as to visitation and support, you can prepare a Joint Motion/Stipulation Establishing Paternity, Support and Visitation acknowledging that he is the father of the child; that you are to have primary residential responsibility for the child; how much support he is to pay and on what schedule (weekly, bi-weekly, etc.) and whether he is to pay you directly or through the clerk's office or other appropriate state agency; and agreeing to a visitation schedule acceptable to both of you. It will need to be signed, witnesses and notarized, and you will have to file it with the clerk's office. It can then be presented to a judge for approval by entry of an order.
Again, this way everyone knows what they are to do, and if they do not, there is a means to enforce the agreement, since it has been approved by a judge.