Found out what was causing the shaking. Meineke put a bent drum on one of my tires. Got it fixed elsewhere, brought the drum back here and the manager, Edward, was kind enough to offer me a refund without a fight. That I do appreciate.
Then a couple weeks later, I go for an oil change (elsewhere) and I'm told my brake fluid is dirty and should be flushed soon... The exact thing I went to Meineke for in the first place. WTF. Unbelievable.