shaking/weak acceleration

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Just a suggestion here...might be able to pin-point by rotating tires front to back...this will help eliminate lost wheel wts, broken belt in tire if handling characteristics change. could be one or both tires...probably one most likely. Could also be broken or loose motor mount (or cradle bolts) so inspect those as well, in any case work from the least costly scenario to higher cost such as CV joint. with info you gave this is the best I can do for you

Oh forgot to mention to check your lugnuts. could be loosening, 100 ft lbs is spec, but equally tight is most important to prevent brake rotor warp which could also fit into your question but you would feel that in the brake pedal during braking

I was talking to a tech friend yesterday and he said if the shaking is in the gas pedal you want to check the vacuum hoses carefully for wear where they might rub against something or loose connections. Even the smallest of leaks can cause problems. I know I found one behind the air box somewhat worn on the underside of hose so I taped it with electrical tape to prevent wear thru.