1996 Honda Accord car steering tends to wobble when negotia

Especially when speed is slow below 100 km per hour on freeway travel the steering have a feel of not steady or smooth with normal new car. In particular on rough road during cornering below 80 km per hour or less the car is not steady and feels like shifting away. Could this be the steering rod or tie rod end n head, upper arm, lower arm, ball joint etc. I have no answer from the local mechanic but to change all the above parts. Even suspension. Would appreciate your expert answer earliest possible. Thank you