Nice bike, but most likely your wheels are for glue on single tube tires. If the tire stated above is single-tube, meaning it does not have a tube, the tire and the tube is basically one part. Then yes.
If the tire above is for use with tubes, then no.
To check your tires, just try to roll the tire off the rim a bit, it the bead s locked in (the rim hooks over), then it is a clincher, if it seems to be rolling off the rim and the rim area is smooth it is a single tube.
You will have to find another rim and relace it to the hubs and get those tires or , just spend the money and get repop single tube tires. like these
http://www.ebay.com/itm/PREWAR-MEAD-RANGER-PREWAR-TEENS-28-TIRES-1-PIECE-TUBE-TIRES-RED-NEW-/381028413947?pt=LH_DefaultDomain_0&hash=item58b71031fb
In fact red tire on that bike would look pretty cool.
Sorry if you already know this, it may help others.
there really is no Cheap way of replacing wheels to
retain the original look or prewar wheels. Im cheap and am still going to spend the bucks to get Velocity Blunts. These are rims with the same profile as wood wheel.
The real quick and cheap way is to find a set of 29r or hybrid 700cx38-40 rims and tires with a coaster brake. You will also have to make sure you have a correct front sprocket because most new bike are not going to be skip tooth, see what mean?