Please note that your 3 GB of RAM is not going to result in a good experience with Lion as it is a bit of a memory hog and 4 GB is a realistic minimum.
As for copying your applications from one Mac to another: have you made sure that they are compatible? And, do they require more RAM than what you have? Using something like Creative Suite, I would suggest more than 4 GB RAM.
I don't know which version you have, but here are the requirements for v. 6:
(Note: 8 GB RAM recommended)