Hi L.,
Good for you for giving your baby the best you have to give. You're doing great! Keep in mind these things (from the breastfeeding answer book) when you are trying to increase your milk supply:
1. The amount of milk the mother produces depends on the frequency and effectiveness of the sucking of HER BABY at the breast. A breast pump just doesn't do as good as a job of stimulating.
2. Milk production follows the principle of supply and demand.
3. More frequent but shorter nursings build and maintain a mothers milk supply more effectivly than less frequent but longer nursings.
Also, here are some more tips on increasing supply:
1. be sure of a good latch and good position
2. offer both breasts at each feeding and nurse long enough so that the baby recieves the high-calorie hind milk
3. If the baby is sleepy try moving him back and forth from one breath to another. switch when the babies sucking seems to slow down, usually around 2-5 minutes.
4. All the babies sucking should be at the breast, avoid bottles and pacifiers for now, at least until your milk supply is better.
5. Give only mother's milk, don't suppliment, at least not until your milk supply is better.
6. Take good care of yourself, plenty of rest, plenty of water, relax.
And it's ok to do nothing but nurse the baby. Enjoy it. And besides, what else does your baby have to do. Also keep in mind that the breasts seem to be better stimulated at night when the mothers hormones tend to be more relaxed. This is why babies always want to wake you up :) So try to stay close to your baby at night.
I would maybe try this for a week and then worry about storing milk. It will help to have a good milk supply before you pump for storage purposes.
I hope this helps, Good Luck!