Consider incorporating a small bench like this one, which is outfitted with a deep drawer to house spare hand towels and toiletries. (bhg.com)
Both spare time and spare hands become very limited (mine did, much to my dismay). (ababyonboard.com)
I wish there were more options for multi-tasking while pumping, but alas, I feel like I could barely spare a hand to play on my phone during the process. (romper.com)