J.P.
I had the same problem with my daughter. She didn't like being interrupted to switch sides. I ended up feeding her on one side at each feeding. And then fed her on the opposite side at the next feeding. It didn't work as well for me until my body adjusted to it, but it did wonders for my daughter. She ate better and fussed less. Hope this helps.
About me: 30 year old stay at home mother of 3, ages 9, 8, and 21 months. Married to the love of my life, my high school sweetheart.