Take Command is a 32-bit or 64-bit GUI application.
TCC and TCC/LE are 32-bit or 64-bit console (character-mode) applications.
All are designed to run under Windows Vista, 7, 2008, 8, 2012, and 10.
The 32-bit and 64-bit versions of Take Command and TCC are identical in features. The 64-bit versions are faster and don't have to deal with the directory and registry remapping that Windows does with 32-bit apps running in 64-bit Windows. The 64-bit versions will also use slightly more memory.