I tried to buy a new set of whitewall tires locally a while back for the front on my 56 Victoria. I ended having to search on line and bought a set of 3/4 inch whitewalls of an off brand (Tornel Classic). When I went to scrub the whitewalls I noticed one or two divots or lumps on each sidewall. They seemed to ride ok but as of late the front of my car shimmys from side to side noticeably as I drive in town from stop to stop. But when I speed up , like over 40 mph the shimmy smooths out completely and is not noticable at all. I did raise the car off the ground and gave each front wheel a spin and did not notice any sideways wobble on the tread and no noticable bumps in the tread. I hope someone who is knowledgable on radial tires can advise me on if this is a safety issue. By the way, I have been searching on Diamondback and Coker and really like the radial tire with the bias ply look. Very pricey, but what I have now is probably cheap off shore junk. I know the 56 Fairlane had wide whites but I prefer the 1 inch whitewall that was popular in the mid 60's.

I have never heard of "Tornel Classic." Take the car back to the shop that installed the tires. They need to check the balance and make sure that the tires aren't out of round. Point out the bulges as well.Hopefully you didn't buy the tires online. It's also possible that one or more balance weights fell off. 

If your vehicle is a driver, not a show car, buy the best tires available in the correct size. 

Yes I did buy the tires on line as whitewalls are no longer available locally. The shimmy is at low speeds going from stoplight to stoplight in town and smooths out to nothing noticeable at highway speeds.