I have a 2002 Honda Civic EX with 166k miles on.

I have a 2002 Honda Civic EX with 166k miles on it. The issue only occurs when I am driving between 35-40 mph. The front end starts to vibrate or well shake pretty viciously. It is almost as if the car has a flat tire I could say. It pulls in the steering wheel when this happens. Sometimes the sound comes from one side of the car and pulls to one side only and other times it comes from both sides. It only happens when I accelerate and am going between 35-40 mph. I am trying to figure out what I can do to fix this problem. If it is something that will cost a fortune or if it is something that will be on the cheaper side. I know fixing cars is not cheap but if I can fix it, I know it is worth it since this car should last me another 100k miles or so. If you could please help guide me in the right direction or tell me the next step I could take, that would be great!