I replaced my old HDD with a new one. Also I created a bootable usb flash (8GB Toshiba) with Mavericks using DiskMaker X. I restared Mac and pressed Option key, but I see no option to boot from. I understand that I can't see my HDD at the moment because it has not been formatted yet, but I do not see also bootable usb drive. I thought maybe it was created with issues/errors, but when I tried on another Mac, it works, I can boot from usb drive. So I do not understand, what's the problem?
Did you create the bootable USB as the Mavericks USB should be created - it isn't the same way as with Lion/Mountain Lion.
Here is how a bootable USB with Mavericks need to be created: http://osxdaily.com/2013/06/12/make-boot-os-x-mavericks-usb-install-drive/