I have very heavy bleeding with my period. Are there options that will help me control the bleeding while allowing me to retain fertility?

Yes. There are multiple medical options. Hormonal treatments such as birth control pills, Progesterone treatments and the Mirena (levonorgestrel) IUD are effective reversible treatments that will help many people. There is also a drug called Lysteda that contains no hormones which will help others. Discuss these options with your doctor.
Find a reason why. Treatment of heavy bleeding, menorrhagia, depends on the cause. Some women simply have a thick uterine lining, others have fibroids or polyps. Ovulation problems, certain infections, and bleeding disorders are potential explanations. Pregnancy is also a common cause. Most of these problems can be treated while maintaining fertility. Best to get an ultrasound and assessment from an expert.