Bad vibration

Did you change all of the spark plugs because it sounds like you may have cracked one. If there is a check engine light that will tell us which cylinder is having the problem.

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

and

https://www.2carpros.com/articles/how-to-change-spark-plugs

Please run down these guides and report back.

Cheers, Ken

No check engine light. It vibrates when I accelerate until the car reaches thirty to forty mph and levels out until braking and the vibration returns. I was told it could be a bad tie rod.

Is the car vibrating or the engine? Can you shoot a quick video of the problem and upload it here in your response?