By "braze" do you mean by using a torch to heat the metal or are you thinking of actually brazing the joint?
Brazing involves heating the metal to over 1100 degrees F. If brass is being used as the filler, the temperature will be over 1600 to as high as 1980 degrees F.
These high temperatures include Silver brazing.
Temperatures over 1000 degrees can cause local distortions and oxidation which are usually not good for finished parts. There is also the likelihood of removing any hardness any steel part may have.
Soldering on the other hand requires heating the joint to temperatures in the 300-600 degree range.
At these temperatures there is little likelihood of damaging the metal or the finished sizes of the parts.
For parts that are likely to be subjected to large amounts of stress or strain a low temperature Silver bearing solder is a good choice.
Use a good flux and don't overheat the metal.
Don't direct the flame at the joint. Rather, heat the metal some distance from the joint and let the metal carry the heat to where it's needed.
Have fun.