Both of those phones use a nano SIM card so you should be able to just move the card from the S6 to the S10e. Should you need a new SIM card, they are free at Corporate VzW stores or by contacting Customer Service (although there may be a shipping charge).
You have reached the right person to help you, Isabella7003. I was able to look up both types of equipment and the good news is they do use the same SIM card. You will be able to switch them over and there is no charge. Does this help? AmberF_VZW