My 1929, a 168B limo, has wood spoke wheels. Mine are painted body color, natural wood finish was a factory alternative. When starting a restoration about 15 years ago, I was advised by some LOC members to keep the wood wheels, as they were very unusual for a car as late as '29.
Changing to welded wire wheels requires changing axle hubs, brake drums, and wheels. It was far less costly for me to have wheels re-spoked by an excellent local wheelwright than to find, purchase, and recondition all the other parts. I drove the car back in the '60s with the original wheels.
What is the condition of your wheels? any squeaks or clicks when driving very slowly? Wheel noises are an indication of loose spokes, not necessarily a big problem, but it only gets worse with use. New spokes made of proper material (air dried 8% moisture hickory). I decided to rebuild my wheels when a car restoration was begun, a few spokes were loose, one rear spoke was split. The wood wheels are very strong, last a long time. Nowadays, these cars don't collect a lot of miles, so a set of wheels last forever.
Find yourself a rim jack that can handle a 4" wide rim, or an original Kelsey-Hayes Rim Tongs (Lincoln tool kit), and you can dismount and mount tires easily. The modern tire shop machine will not work on these rims.
The spare tire carrier(s) are also quite different for wire wheels and wood wheels.
If you decide to proceed with changing wheels, I have been looking for a replacement rear brake drum...