The Wikipedia article above says that though uncommon in usage, the buffalo verbs in that sentence mean "to bully, harass, or intimidate" or "to baffle".

AIUI, it's only "to bully" in the sense of verbally overwhelming someone into believing what you what them to believe. It's like the word "to snow" (in the sense that means "to con").

I would read "buffaloing" somebody as a less vulgar version of bullshitting, which is also a way of lying about something, mostly to get them to buy something they don't actually need.

I don't think "buffalo" (the verb) having a specific meaning makes any difference in how hard that sentence is to parse.