I don't like handling any kind of a pot filled with molten lead alloy, so I use my bottom pour electric casting furnace (RCBS). It sits on a work bench and is very stable, and doesn't have to be moved while it is hot. Some years back, a friend and I bought a couple of tons of wheel weights from a local high-volume tire shop. We went through and sorted out all of the non-lead weights (from mag wheels, etc.), and cast the remaining good wheel weights into ingots, using an RCBS ingot mold, using flux and skimming the clips and dirt off the top. We ended up with very clean wheel weight metal in ingots that we can just add to the casting furnace for casting bullets.
I recommend against washing the wheel weights before you melt them. If you have any drops of water left in the clips, etc., you will have more excitement than you want when you add those to the melting pot!
Do all of your bullet casting, including processing the wheel weights, in an open area or an area with good ventilation. Don't do it in an open area where a passing cloud could drop a few drops of rain into your melting pot!