Does Premier we use each year handle carry over stock loss?

If you transfer the prior year info every year then the loss carryover is also transferred. 

If you use the ONLINE program you need the Premier or better.   

If you use the Downloaded/CD version you can use ANY of the versions ... Basic will work if you do not need a state return and Deluxe or better if you do need to complete a state return.

If you had a capital loss that could not be used then the amount is carried over to the next tax year.  Using TurboTax, when you transfer the prior year tax data to the current tax year return, the loss will also be transferred.