1929-1940 1/2 ton front axles are pretty much the same. A big change came in 1941 with larger king pins. Another change came in 1953 with bendix brakes. A 1941- 1954 front axle should swap directly into your truck... in theory. Using the 41-54 front you could put 12 inch disc brakes, and run original 6 lug wheels.
As for the rear... figure out what tire size you want, and how much fender you have to hide the tires. On my 1940 with a 48 1/2 inch wide bed I selected a 61 inch wide axle. That should allow me to run 255/70R16 tires on 7 inch rims with 4 inches of backspacing. Your 1937 should have a 46 1/2 inch wide bed. I am not sure how much fender you got... I got around 11 to play with on my 1940.
I am using an IMCA modified f@rd 9 inch. You are able to get them in any length you want and have many more options for gears. I spec'd mine to have 12 inch disc brakes with a 6 on 5 1/2 inch lug pattern, so I can run the factory wheels which I had widened.
Good Luck
John
