A few things I learned from pumping during my 3rd and 4th years as a med student with two babies:
1) Directly nurse the baby as late as possible before your shift starts, because a live baby will drain your breasts more effectively than any pump. I learned to "dreamfeed" my baby, getting her to latch on and nurse in her sleep when I was up at dawn to leave for an early shift. Also, don't let them feed a bottle in the final hour before you see the baby again, so that the baby will nurse hungrily and stimulate your supply. Nurse at daycare before getting in the car to go home.
2) Handsfree pumping setup is critical. This can be rigged with a few hairbands around the pump flange hanging from a nursing bra strap, or there are many fine pumping bustiers available for purchase. This allows you to write notes, look up labs, catch up on reading results while you pump.
3) Practice with the pump. After a few weeks dedicated practice, I was like a commando and could set up in like, 90 seconds, and my body was trained to let down for the machine so I could get a good production in 10 minutes. Expect your letdown to improve with practice.
4) No need to wash parts after every use. If you stash them in the pump bag next to the insulated bag holding the bottles of milk, they are at fridge temp. Freshly expressed breastmilk is broadly antimicrobial. Between those two factors, nothing bad will grow in that one day. Wash them at home with soap and hot water or in the dishwasher, once in each 24 hour period.
5) Use compressions and massage near the end of the session to fully empty the breast or target problematic ducts.
6) Watch out for a cold room - impairs letdown. Drape a blanket over your shoulders.
7) If you can manage to push through for a month or two of really dedicated pumping, when the baby is older you will have a lot more wiggle room. So hold that thought close to your heart when you're frustrated. I found that with my second child, the "storage capacity" of my breasts was dramatically larger. With my first child, at 8 and 9 months I still needed to pump once every 5 or 6 hours, but with my second child at 10 weeks I was able to go 10 or 11 hours and just pump when I got home after the shift, and not impair my supply. It gets better.
8) Some women talk about using something familiar to help letdown - a picture, a sound file, a garment that smells like baby. I found the pump to be completely alien and artificial, and did better with complete distraction.
Once I got good at it, most of the people I was working with had no idea. If you're preparing notes or looking up labs, the 10 minutes is not wasted. Find the right space is probably the hardest part. On some rotations I wasted a lot more time getting to the approved space than actually pumping. Lame. Also, if you're engorged, hand-expressing a little into a bathroom sink relieves the pressure and hopefully reduces risk of plugged duct and mastitis.