I don't have polysporin (bacitracin and polymyxin) or neosporin or anything to put on before the band aid. Is there anything else that would work?

Neosporin. While, it may possibly be of some benefit, there is no documented proof that topical ointments such as neosporin or polysporin (bacitracin and polymyxin) increase healing. Most important is to keep the site clean and ti keep it covered.