Do the cart wheels use a stem or plate to attach to the cart?

When looking for replacement wheels, make sure that the wheel is rated to support the load.

Usually, you just have to increase the diameter of the wheel to overcome that.

These old threads helped me a lot:

https://pinside.com/pinball/forum/topic/wico-pinball-cart-wheels

https://pinside.com/pinball/forum/topic/old-wico-pinball-lift-shock-help

Softer material and larger diameter will give you a smoother ride. On most of my arcade driving cabs, I use rubber or polyurethane wheels of the same diameter or slightly larger than the originals.

Your cart wheels look like nylon. Very hard material which transfers all of the energy from impacts into the load. Make sure you match the plate mounting holes!

These wheels have been suggested:

Depends on if your cart has the removable wheel plates or the welded ones

Don't go too soft on the plastic you pick.
You'll have flat spot in the wheels if you leave any weight on them overnight.
The flat spots usually go away over time, but its a pain to move a machine while the flat spots are there.

And remember, the wheels are only supporting 1/4 of the total weight.
I'd pick wheels capable of carrying 1/2 the weight or more.

www.harborfreight.com has a decent selection of wheels in varying diameters, materials, and features.
Maybe stop in the store and get your hands on them to see what suits you best.

Lastly, don't forget to get measurements of the mounting flange holes unless you're OK with redrilling and/or welding plates.