How much RAM installed in your Mac Pro,
How full is your Mac's hard drive?
Do you run any antivirus software on your Mac? Antivirus software can slow down the normal operation of OS X as well having negative performance effects on OS X and other adverse system issues.
Do you have apps like MacKeeper or any other maintenance apps like CleanMyMac 1 or 2, TuneUpMyMac or anything like these apps, installed on your Mac?
These types of apps, while they appear to be helpful, can do too good a job of data "cleanup" causing the potential to do serious data corruption or data deletion and render a perfectly running OS completely dead and useless leaving you with a frozen, non-functional Mac.
Plus, these type of apps aren't really necessary.
They really aren't.
There are manual methods to clear off unnecessary data off of your Mac that are safer and you have complete control over your Mac and not just leave a piece of auto cleaning software in charge of clearing off data off of your Mac.
Their potential of causing OS X issues outweighs the implied good and benefits these types of hard drive or memory "cleaning" apps are written to do.
Plus, the software company's that write these apps make it hard to easily uninstall these apps if something DOES go wrong and these apps work in a way where you have no recovery or revert function to return your Mac back to its former, working state in the event something does go wrong.
It is best to never download and install these types of apps.
The risk to your system and data is too great a risk!
Your Mac Pro could have Mavericks incompatible hardware and/or software.
You may need to update all of your third party software if there are OS X Mavericks updates that can be applied. You may need to, ACTUALLY, go to the third party developers' websites if there are no updates through the Mac App Store.
Update all of your Web browser Internet plugins, also.
Also, if you have any connected third party devices, like non-Apple, third party keyboards, mice, drawing tablets, hubs, card readers, etc, you need to go to the device maker's website and update the drivers for these devices to OS X Mavericks compatible versions, if available or needed.