I got an email from NameCheap, and they are going to have transfer week discounts.
.com will be $6.98
.net will be $8.48
and so
Sale begins February 21 at 12:00 AM ET
The discount mentioned is expired, but there is no charge to push domains from one Namecheap account to another. If you want to add a year at the same time you would just need to pay the normal renewal price, but you are not required to in order to push a name.