A couple items, you can get 700c wheels with a FW hub -amazon sells them just looked at a pair last week, there are many more 27" tire options then they get credit for on this forum just look in the sticky thread section for the 27" tire thread. and +2 to truing and repacking the originals before whipping out the plastic, lateral play sounds like a hub that is adjust too loosely. There are a number of videos out there about rebuilding cup and cone hubs, RJ the bike guy, GCN (uk) Park tools etc, A a couple of cone wrenches some loose bearings (see videos for sizing and number different between front and rear hubs) , a tube of fresh grease and some patience and time and Bobs your uncle. for a fraction the cost of a new wheel-set. YMMV.