I've tried to find an utility that will allow to copy files from big folder for specified time range.

 The  discussion in experts-exchange suggested to use RoboCopy

 (http://www.microsoft.com/downloads/details.aspx?displaylang=en&familyid=9D467A69-57FF-4AE7-96EE-B18C4790CFFD)

 For the specified date command e.g 2009-11-24 command should be:

 

Robocopy FolderFrom FolderTo /MINAGE:20091125 /MAXAGE:20091124

 

Note that for 1 day selection  MINAGE should be one day BIGGER than required date.

 

 

I still wish to find utility that will allow to specify time, rather than full date.

The same discussion has batch file example, that possibly can be used to filter time as well.