shaking while driving 60-70

Sounds like the tires could be worn unevenly or they could be out of balance.
That is the first thing to check.
Have they been balanced and rotated within the last 6 months or 6,000 miles?
Let me know and I am more than willing to help sort it out.

I just recently had a flat and noticed that problem prior to the flat. My alignment was off and had to have a camber kit replaced on my front right tire. The camber kit helps keep the tire in line with the ground. It was worn so it created a tilt with my tire connecting to the road...thus throwing off the alignment, causing the car to shake, and ultimately shreddding a perfectly good tire.

That's great news. I am glad you got it fixed.
If you should ever need anything else, come back and see us.

Take care.
Dr. C