Make sure all surfaces are completely sterile.
Leave a little scuff on the mating surfaces. Solder likes a "tooth".
Tin your parts prior to sweating. This is important because it'll promote the solder to flow under the parts and provide complete adhesion.
Use the right flux.
Brownells has a SS specific flux now. Haven't tried it yet, but its supposed to be pretty good.
I like my flame slightly acetylene rich so that I'm not inclined to scorch parts from too much O2. Heat management is also critical to avoid scorching a part or cold jointing them. Spend your time warming up the bigger piece first, then transition to the smaller/thinner one. Avoid corners as they are heat sinks. You want even heat and just enough to promote good capillary action. Too little and it's a cold joint. Too hot and you can scorch stuff.
Good luck. Hope this helps.