Thanks all, whitestar_999, for that link. Well after creating this topic I did my own tests with Teracopy and Fastcopy, and on every occasion Fastcopy was faster than Teracopy, so I am staying with it. The only botheration is I can not use the normal copy/paste feature, which was a good thing about Tera copy, it provided a pop up, which is missing from Fast copy, clicking the right click every time before pasting something is kinda pita, but I will get used with it I am sure.
I copied a big file of 27 GB from my Hard disk to my external HD with USB 3.0, and the speed difference between Fast and Tera was just 9 seconds, Fast copy was faster obviously, but the deciding factor was for a rather small file of 10 GB, which took 81 seconds with Tera but just 65 with Fast! On both occasions Windows 7 default copier was pretty close to Tera copy, but the problem with Win 7 copier is horribly wrong time remaining message and it's so unstable!