You should have the tires spin-balanced and inspected for unusual or end-of-life wear. Usually just $15 or less per wheel. Usually needed a few times in the life of a tire. And even rotated front-to-back (front wears faster). Ask for the shop to inspect tires for problems - fancy tire places have a roll-test machine.
Since it is usually free to have them inspect (unless a Ford dealership and they charge $150 to not feel the issue on the replacement tranny), with the car jacked up or on a shop's lift, one can discover a wheel bearing issue by grabbing at the top and bottom of each tire, pulling in and out. Good wheel bearings have no movement at all. If it has a ticky feeling and the tire moves in and out by a fraction of an inch, it is likely play in a wheel bearing, symptoms of which can also increase at speed or when braking. Only the affected wheel needs a new bearing pressed into the knuckle, which can be done in-car with the right tooling.
Then a full suspension inspection is warranted, to see if rubber bushings are shot, causing or amplifying the vibrations. Inner and outer tie rods tested, similar to checking the wheel bearings, but pulling tire side to side for steering play. And finally an alignment after worn parts that would make an alignment pointless are replaced.
If inspected by a tire shop, ask to see the symptom yourself. Alignment/tire shops are as notorious as any other, have tried to sell new tie rods for alignment when I had just put them in needing the alignment. They'll try to charge $240 for something I can do on the street in 15 minutes. And they'll tell you to leave the car all day, or drop it off tomorrow so you are less likely to watch them work on it for mere minutes while billing hours. When a brake caliper locked up on me, and a place with the initials "Les Schwab" said "come back tomorrow with $250", went back and changed the $25 part and speed-bled in their parking lot in 30 minutes just so I could say "see ya never".
PS On stock "slicer" wheels, take off the lug caps for the tire guys yourself gently, by prying with a long thin flathead screwdriver through the notch; don't pry just by the edge of the plastic cover which can break them, but lever out the cap by pressing the tip of the screwdriver into the center ring under the notch (93+ wheels don't even have a notch; pry on the same side as the valve stem; reinstall the 92's notch towards the valve stem).