If your vehicle is showing wobbling sensation felt at low speeds, here are the most likely causes and the parts you'll need to fix each one.
The internal steel belts of the tire have broken or shifted, creating a bulge in the tread. This causes the vehicle to literally waddle or wobble side-to-side at low speeds.
If the wheels were recently removed for service, the lug nuts may not have been torqued correctly and have backed off. This allows the entire wheel to wobble on the hub, which is extremely dangerous.
Hitting a deep pothole or curb can bend the wheel out of round. This runout causes a noticeable wobble that speeds up as the vehicle accelerates.
A failing wheel bearing allows the wheel hub to have excessive play. While usually accompanied by a roaring noise, extreme wear will cause the wheel to physically wobble at low speeds.
Excessive play in the tie rod ends or ball joints allows the wheel to shift left and right independently of the steering wheel. This can create a wandering or wobbling feeling at low speeds.
A severe impact or off-road damage can bend the CV axle shaft. As the bent shaft rotates, it creates a rhythmic wobble that is highly noticeable at low speeds.