When comparing TeraCopy vs Process Hacker, the Slant community recommends Process Hacker for most people. In the question“What are the best power user tools for Windows?” Process Hacker is ranked 8th while TeraCopy is ranked 17th.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Faster file deletion
It deletes files much much faster than built in Windows file manager.
Pro Can check files for copy errors
TeraCopy can automatically check/verify the copied files for errors, by calculating their CRC or other checksum/hash value.
Pro Seamless shell integration
Pro Skips badly copied files
TeraCopy skips badly copied files during the copying process, and then displays them at the end of the transfer "Verify" with checksum/hash, so you can see which files to re-copy. See also, OpenHashTab for Windows and DeadHash for Windows, Linux, Android.

Pro See programs with active network connections

Pro Real-time information on disk access
Pro Can be set as your default task manager
Pro 10x more detail and information about usage of PC resources and processes

Pro Detailed overview of system activity with highlighting

Pro Can create, edit and control services

Pro Can track which processes are using a file

Pro Open source
You can find the code here.

Pro View detailed stack traces with kernel-mode
Supports WOW64 and .NET.

Pro Graphs and statistics to quickly track down resource hogs and runaway processes
Cons
Con Sometimes clashes with 7 zip
From my experience, TeraCopy does not do well in conjunction with 7zips.
It seems to error on some systems when you do a drag-and-drop extract.
Con It might be a little intimidating for some users
