You might want to consider keeping the installation media on hand for future possible usage.
https://www.microsoft.com/en-us/software-download/techbench
Choose Windows 10, the first item in the first drop down (not single language at the bottom)
Next choose your language and your bit version (32 or 64 bit to match your system architecture or in the case of an upgrade, to match your currently installed version of Windows).
That will provide an ISO that will upgrade, repair (or clean install) either or both Windows 10 Pro and Home.
Once you have downloaded the ISO you can use ImgBurn to burn it to a DVD
http://imgburn.com/index.php?act=download
OR
Rufus to burn it to a USB ThumbDrive
http://rufus.akeo.ie/
When you've created the installation media then you simply launch setup.exe from the media from within your current version of Windows to perform the in-place upgrade.
In the case of upgrading from Windows 8.1 as seems to be your situation.... You can simply double click the ISO file and that will mount it as a virtual drive, where you can select and run setup.exe.
Assuming you already have had Windows 10 installed and activated, I would expect that you would just be able to go straight to upgrading without the need to catch up on all the updates.
NOTE: In some cases, we've learned that some people have the "Single Language" version installed. In which case you would need that download. It's important that you match the ISO version that you download with your installation.