I am so very sorry for your losses and situation. Despite my own losses through the winter months, I really can't imagine your pain but I will pray for you and your family.

As for transporting ashes and putting them with other family remains. Contact the place where your parents are and see what they can recommend. They will know transportation regulations and what you can do to have your wishes met. Or contact a local funeral company (local to where you want to place the ashes) to ask them for advice. They will be the most understanding and supportive when addressing your needs.

My thoughts and prayers are with you through this season.
Take Care. J