Yes, with DropIt you can also rename and move your files with a single process.
You only need to correctly configure an association with “Rename” action.
This is an example of association that adds the image Date Taken at the beginning of my photos and moves them in a defined destination:
Name: Move and Rename my Photos
Rules: *.jpg
Action: Rename
Destination: C:\Example\Of\Destination\%DateTaken% %FileName%.%FileExt%
For more info about abbreviations (the special words between % percentage symbols) you can read:
How to customize destinations
In this second example the names of my documents are capitalized and separated in folders by their Date Modified:
Name: Capitalize and Sort my Docs
Rules: *.doc;*.docx
Action: Rename
Destination: C:\MyDocs\%DateModified%\%FileName#+++%.%FileExt%
For more info about abbreviation modifiers (in this case the #+++ string) you can read:
How to customize abbreviations