I'm now thinking the problem might be Mavericks programs like Preview using too much RAM so lots of virtual memory gets used, normally that is OK if the Mac has lots of hard drive space but if there is low free hard drive space such as on my Mini it might be problematic.
For example, I have seen Preview alone using up to 17GB virtual memory doing a simple edit job, that seems excessive. I had only about 30GB free on a 500GB HD so maybe Mavericks had problems getting hard drive space to use as virtual memory. I have 8GB RAM which was enough before and Preview worked great in OSX Lion and Mountain Lion.
I will free up some HD space by deleting or archiving some big files and see if the Preview slowness and bugginess goes away.
I have searched and not found many others who have the same Preview issues as I have, maybe that is because most users have lots of free hard drive space.
***UPDATE Feb 25 2014*** I archived a lot of files so my HD has over 150GB free space and the Preview problem is still there. Even when Preview is the only application running and I am just doing a simple image edit it will often grab huge amounts of RAM and memory pressure goes high and it runs slowly. Sometimes the memory pressure stays high even after I quit Preview so no applications are running at all! Seems to me that either Preview or the Mavericks memory management system has issues that need to be fixed.