From Duemilanove to Lilypad:TLC 5940 + 4051 adjust

Hello there!
I am working on a wearable device project and I've been using my Duemilanove until now, and got all I was supposed to have working.

The circuit I am using is composed by
2x TLC 5940
4x 4051

Now I'd like to pass from wires to conductive threads and from the Duemilanove to Lilypad, in order to make the project actually wearable.
For the first trial I just attached all the wires that were on the Duemilanove to the Lilypad, but it didn't work.
Back again on the Duemilanova and everything is fine.
Then, watching the schematics I found out that the pins are not exactely the same on the two boards. Nevertheless, I didn't manage to realize what I have to change... If someone has suggestions it would be very much appreciated...
I am a beginner, and I didn't quite got into the whole world of electronics...

If this can help in helping me here are the links of Lilypad schematics:

and this is how I connected the TLCs (daisy chained)
http://students.washington.edu/acleone/codes/tlc5940arduino/img/breadboard-arduino-tlc5940_close.png

Thank you!