Personally. I save from TC as an stl file, then open in a free 3rd party program to do some minor facet repairs. I then save as stl, and open in the printers slicing program for saving to the printers code. It takes slightly longer than going straight from TC to slicing, but doing this way works for me.
Looking at your pdf. Will you be making it in pieces then building it into the model, or wanting to print it as one single object. If a single object, supports will likely be required, (unless your using a fancy laser / powder printer), you could either design the supports within TC, or get the slicing program (or something like meshmixer) to add the supports automatically. Personally I like control over what is printed, and try to design so supports are either not required, or at a minimum. just my way. But with that model, I'd personally design it as separate pieces like an Airfix kit.
Attached are some I've drawn in TC and printed out. the top arch is two pieces glued together, it could have been done as one print, but I decided on two.