The description in the online catalog that was referenced above is poor at best. Your Ts have inverted flares with a female thread. The brake lines have flares with a male thread on the nut. The brake hoses on the front attach to the inverted flare of the wheel cylinders. The other end of the hose has a built in inverted flare and a piece of brakeline attaches to it. It is anchored to the frame standoff using a clip. This is the standard setup.
You should be able to reuse those Ts unless they are damaged. They are brass and a little heat will encourage the steel nut threads to move on out.