Metallurgy is vast and complex field covering extraction of minerals from mine site ore (primary metallurgy) to smelting (secondary metallurgy) and refining (tertiary metallurgy).
If the source of your material was a mine site ore the likely process would including: crushing, grinding and froth flotation. If possible the product from flotation would be separate piles of concentrate, one for each metal/mineral. These would then be dried for transportation and further processing elsewhere - usually a smelter.
If you are at a primary metallurgy stage of processing and you are contemplating using froth flotation as separation method you will need to known about frothers and collector. Some of the main collectors are xanthates. Particular xanthates attach themselves to particular minerals to make them hydrophobic so that when air is bubbled into the container the free end of the xanthate attaches itself to the air bubbles and rises to the surface so the mineral can be skimmed off. Frothers just assist in the creation of air bubbles.
If the product streams from flotation couldn't produce separate concentrate product then a combined product would be produced. This is sometimes referred to as a dirty concentrate because it has more than one metal of interest in it. Only particular smelters can handle "dirty" concentrates. From what I recall smelters using the Imperial Smelting Process (ISP), developed by a UK company decades ago, hence "Imperial", can hand "dirty" concentrates of particular metals.
The other thing that can complicate which smelting technology can be used is the grain size of the mineral. The smaller the size, the more difficult it can be to treat. Grain size will also affect whether a concentrate is clean or dirty.
When considering crushing and grinding requirements you'll need to determine the Work Bond Index.
With crushing there are a number of different types of crushers: jaw, cone and rolls crushers are ones that come to mind. There are also hammer crushers for clay materials. With grinding the usual mills are ball mills and rod mills. Mostly likely, not applicable in your situation because you are not dealing with minerals and rock, but semi autogeneous grinding (SAG) mills use the rocks themselves to assist with grinding each other.