When I first drive the car in the morning, it shakes from about 30 km/h to 120km

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First drive in the morning the car shakes as I drive for maybe about 5 min. Guessing it does that till the bad part warms up. After the initial 5 min the shaking goes away, but I feel a vibration coming through the seat. At 100 km/h it's at it's worst. Just dropped $3000.00 into new tires, struts, control arms, rear springs (broken) and an alignment at the dealer. At highway speed I dropped the car into neutral and coasted to a stop. The vibration never went away.