Car has a strong shake to it while driving. just had new tires put on..also seems to have some hesitation when changing speeds while driving

Check wheel balance.

It could be a bad coil assembly, or dirty fuel injectors. I would look at the coil box first.

front end issues ..out of round tires , out of balance, drive shafts going bad, put up on a lift where the wheels dangle in mid air(like a tire shop) and check under the front end for anything loose or broken..

belt separation on one of your tires maybe

I recommend having the stuts and stabalizer bar and swaybar links looked at to make sure they aren't worn

It sounds like one or both of the drive axle inner joints are worn out. This condition will give a very pronounced vibration on acceleration only and will be worse with increased speed.

It sounds like you may have more than one problem here. First I would investigate Front End Alignment and ALL Steering/Suspension components for excessive wear and/or looseness. Second I would Inspect the Brake Rotors and Pads for uneven wear. Third I would check the Tires for uneven wear and balance. Many things can cause these symptoms: Worn out Ball Joints, defective Shock Absorbers/Struts. Worn out Tie Rod Ends, Idler Arm, even the Steering Gear Box can be part of the problem. Brake Rotors and Tires can be out of Balance with either one causing the problem over 60 MPH. I strongly suggest having your vehicle inspected by an ASE Certified Front End and Brake specialist immediately. It is very dangerous to drive a vehicle with these symptoms.

you have 1 or 2 bad ignition coils very common on this engine

Seem like you need to have at-least the two front tires high speed balanced. This shaking at high speed is most likely due to the tire being out of balanced. Good luck and thanks for using FIX YA