I'm trying to plan for how much time I'll need when I go back to work in a couple of months.
I did much the same. I wasn't pumping at a workplace, but at home I had four sets of pump parts. My husband was responsible for cleaning parts twice a day. He'd wash them all and set them all up so all I had to do was grab a set, pump, store the milk and then disassemble the parts for cleaning.
I pumped into Evenflo glass bottles (easier to hold as they are heavier than plastic, so stay in place better- plus they are GLASS and not plastic!) and stored the milk in the fridge in them. So we had about a dozen of those bottles to cycle through pumping and storing.
You can also keep your pump parts in the fridge. After my son started BFing, I would use the hand pump now and again and I'd keep it in the fridge between uses within a 24 hour period. I wouldn't keep them in there longer than that, though.
Also, I thought it frivolous at first... but we bought a counter-top steam sterilizer and that was infinitely easier than boiling pump parts!!! I think that was the one of the best purchases those first few months when I was pumping!