although this doesn't fulfill your request, you can select multiple files in blink - on OSX you hold down the "apple" or "cloverleaf" key while clicking files in the list and they are highlighted or dehighlighted (selected in the parlance of the blink tooltips)
once you have selected the files then you can click move, select the directory and all the highlighted files will be moved. then when that is finished, click the close icon and they will disappear from the list.
this way you only have to go thru your steps once instead of iterating over all the files you want to remove.
rob