if in doubt, just use SN63 (radio shack has it) and you should be fine... melts at 273 C.
If you have a hot plate, put it on there and get it as close to melting temp as possible. Then you will only be adding small amount of heat where you need it to melt solder. You can probably get by with a hotplate and a hefty (250-500 watt) soldering iron. No fire, little risk of melting anything.
Without a hotplate, you would need a pretty big soldering iron or a propane torch.
Get the entire item warm before you focus on the trunions and you will not have to overheat them as much. If you use propane (stay away from MAPP gas) you will probably have to try hard to screw it up. MAPP can melt brass. Propane.... not sure... it would be hard if it is possible at all.
Heat the piece, not the solder. When the piece is ready, apply the solder and the solder will melt.
You will probably get solder on places besides where you want it... it will come off with a file or sandpaper, but will take work.