I've been silver soldering for several years now using a butane "pencil" torch purchased at one of the big box home centers (Lowes or Home Depot). For solder and flux I buy silver solder paste from a jeweler's supply. I use Rio Grande, but all of the online suppliers carry it. Like the wire, it comes in grades from "extra easy" to "hard," with increasing melting points. The paste itself is a mixture of flux, very fine solder power and an inert grease, and comes in a hypodermic style tube. For most small fittings, I take a fine price of wire and pick up just a trace of paste and apply it to the workpiece where I want the joint (the work should be as clean as possible), hit it with the torch and pickle it once the bond has been made. You can make EXTREMELY small joints this way, like soldering a .3mm ring to the end of a peice of wire to make a railing stantion for a 1/16 scal model.
The pencil touch works for almost every job, as long as it's fairly small. However, if you're working with a larger peice of brass, use a regular plumbers torch with propane or MAP gas. I had to do this to solder blades onto a heavy propellor hub for a 1:64 scale sub. The hub was just to heavy.
BTW, if you are looking for butane, the big box stores sell it where they stock the torches. Same kind of can that you use for lighters.