Your tax files end in .tax or .tax2016, .tax2015, etc. They should be in your Documents in a Turbo Tax folder. You should also have the pdf files of each year. Or search your computer for all files ending in .tax. Also if you haven't done it, I would open each year in the program and save it as a pdf file, go to FILE - SAVE TO PDF so you don't need the program installed to view your return.
What I would do is just copy the whole Turbo Tax folder that is under your Documents. That should be where the .tax files and pdf files are stored. Copy that folder to a flash drive or best yet is to burn it to a CD or DVD and then you will have a backup of them. Then on the new computer copy the folder (or files) from the flash drive to your Documents folder.
You only need the .tax2016 file to transfer into 2017. Next year you will need the .tax2017 file to transfer. And actually you should open each year (if you still have the programs installed) and save each year as a pdf file if you haven't done that. Then you don't need the program installed to view your returns.
See this article on how to move your tax return to another computer…….
https://ttlc.intuit.com/questions/1901474-move-your-tax-return-to-a-different-computer