1 oz is actually a pretty good start! It takes time for your body to get used to and respond to the stimulation of the breastpump. So save every oz and give yourself a break. You won't get full bottles (4 oz) until you've been pumping regularly for a few weeks.
You can actually pump first, feed after. This will remove the foremilk, and baby will be very efficent at removing the hind millk. This may help you get more since the fuller you are, the more you can pump (usually).
I started pumping only a week or so before returning to work, but then I knew I would be pumping multiple times a day at work, and so I was on pump as you go type of schedule (each day's milk was sent for the next day). I only had a little extra in the freezer for backup.
The first thing in the morning is the best time to pump since you will usually be very full at that time. I always got the most milk if I pumped before the morning feeding.
As for your supply, as long as baby is EBF how you feed him (one side or two) should not really affect your supply too much. But it can lead to engorgement on the non-fed side if you go too long between feedings, which can cause breast infections and other unpleasent problems. If you are fine, however, your supply should also be fine.
CD'ing, homebirthing, milk making school teacher. Supporting my family on my income and trying to get out of debt in 2013!