I have about 5 small entities presently being processed on a laptop I wish to transfer from to new system Can I bring data files across to this system or????

Yes, you can,

You can move your company file to another computer. Ensure you installed your QuickBooks Desktop (QBDT) to the new computer. Then, you can now transfer your company file.

However, you'll want to ensure your computer meets the minimum requirements of your QBDT version to be able to use it on another computer. The minimum system requirements for QuickBooks Desktop for Mac 2013 is with Intel Core 2 Duo or higher processor and Mac OS X v10.7 or later.

For Windows Pro/Premier 2013 and Enterprise Solutions 13.0 is Windows 8, all editions including 64-bit, natively installed (QB R4 and later required). 

Nonetheless, Let me guide you through the process on how to move your files:

1. Create a backup company file on your original computer.
2. Give it a unique name so it's easy to identify. This also prevents accidental overwrites.
3. Save the backup file somewhere you can easily find it.
4. Move the backup company file to your new computer.
5. Follow the steps to restore the backup on your new computer.
6. If you use payroll, download the latest tax table after you move your file.

Furthermore, here's an article you check for more details about moving your company files to another computer.

As always, do check our Help articles page and learn some tricks in managing your QBDT efficiently.

Know that I'm always around to back you whenever you have other concerns. Take care and stay safe!

@frankstent 

I am not recommend to keep using your old QB version running on a supporting Windows OS (i.e Win 8.1 or Win 10). Consider upgrade your QB Desktop version to 2020. You may purchase QBD 2020 Premier 1 user for $500 on regular price or < $400 thru a partner/reseller.