Michelle,
You need to check into intellectual property laws and whatever agreement you have with your current employer. It can cover the whole spectrum of
ANY programming you do while employed by them is their intellectual property, to as long as it's non-competing it's fine for you do do outside programming.
>Skipping from one thing to another might not be so bad in part time work, since I have the stability of a constant project in my full time work. It would provide a nice variety.