Can I by any chance preserve the date video was taken when exporting from MTS files (Movie Maker or Expression Encoder)?

Or another solution for this situation:

I took lots of pictures and videos by 3 different cameras. So I have 6 different formats (pics, vids * 3) and want to make one movie so there is a chronological order (by Date or Date modified file attribute). If one of the formats wasn't .MTS (Canon) - I could have managed it in Picasa.
So now I try to convert MTS by Movie Maker or Expression Encoder, but it messes up the Date so the order is ruined...
I thought of renaming everything by Date first, but don't know how to do it automatically

Please help
Thank you very much in advance