for reference I'm 6'0" and generally take a 38/40 in jacket size depending on the cut.
I want to say that the Truman is "more traditional" - I've found the Bedford to be typically boxy for EG, I fit a large yesterday (a darker grey wool jacket, also lovely, in competition w/ the Truman for new winter layer), and generally have a hard time fitting EG jackets between M and L. I need the L to accomodate my shoulders/chest, but that usually leaves me too much room in the body. That said, the wool Bedford in L was a good fit, integrating the EG look into something that I feel actually fits.
The Truman in medium really fit me perfectly, the large was clearly large.. The length of the jacket is a bit longer (more typical for a sportcoat). If you don't have the opportunity to compare these two in person, as I did, I do strongly recommend the Truman, even at the price.