Upgrading OS's is a misnomer .... in, general moving to a new OS reduces performance (Win 95 was the worst (-40% ...Win 10 the best in this respect) but the bigger problem is device driver compatibility.
A. Cop the Blue Screen message into your web search window and search for solutions.
B. Review Event Viewer logs to see what causing issue (error and warning messages)
C. With Win10, your biggest problem is Win10 Update replacing good working drivers with what MS thinks you should use and this has been a major issue since Win 10s 1st day.
1. Download all drivers from component manufacturer's web sites.
2. Turn off Win 10's ability to install Hardware drivers.
http://winsupersite.com/windows-10/stop-automatic-driver-updates-windows-10
3. Uninstall each device driver.
4. Use CCleaner to search registry, (check ONLY 1 section on left pane at a time) find and remove any remnants. Remove ONLY items specific to your single driver at a time. Reboot.
5. Install device driver from component manufacturer's web site.
6. Rinse and repeat for all drivers.