Copper pipe silver soldered, silver contact points cut from bus bar, silver-plated copper bus bars, and bolts nuts...
The cell can be a large salad bowl.
The DC power supply can be a transformer and a bridge rectifier, (a capacitor could be used to smooth ripple but is not needed) fancier supplies you could add a voltage regulator and a couple of more capacitors these can be part of almost any electronic device or made from their scrap parts.
old computer power supply's can be wired or made to work.
A nonautomatic 12volt DC (14.5 volt DC) automotive battery charger (basically a step-down transformer (line voltage AC to about 15 volts AC), and a diode ( converting AC to DC current) works very well, making getting started easy.
Copper sulfate is highly concentrated as an electrolyte.
If you bag the silver/ copper in a sock with an anode (larger bar same material).
from the positive of your 12v battery charger's positive lead goes to a twelve-volt automotive headlamp the other side of that headlamp is jumpered to your anode the bagged material you wish to put into solution as ions, the cathode can be thin copper plate or foil (or stainless steel) connected to the negative lead of your DC power supply.
When the anode material is high in copper, the electrolyte is high copper most silver will stay in the anode bag, and fairly pure copper plates out.
After running large runs, the electrolyte can be crystallized through evaporation, you can recover the small amount or the rest of your silver from the bright blue crystal you are saving to reuse in the cell later or for some other purpose.
The lamp is useful to limit and regulate the current through the cell, it drops the voltage as it is a variable resistance being wired in series with the copper cell, the filament of the lamp changes resistance with heat or as the lamp glows.
The lamp is a visible indicator of the cell operation its current and voltage if it is working or there is a problem in the circuit.
The lamp protects your cell and the circuit from a shorted cell, (the shorted cell not being resistance to current any longer, would just ground out, or give full voltage to the lamp lighting it its brightest, the lamp limits the current of the cell or the load on your DC power supply...
copper sulfate can be bought (sewer pipe tree root killers).
Copper sulfate can be made from other copper salts or solutions, if you use copper waste solutions and you distill (safely understanding the dangers involved) you can convert copper nitrate into nitric acid and copper sulfate, or you can convert copper chloride into copper sulfate and hydrochloric acid, the very hot and concentrated copper sulfate remaining after the distilling process removed hot and is crystalized through cooling of the solution, the crystals reject impurities to the blue copper crystals if you add cut up pieces of copper to the solution you are distilling it helps drive the reaction forward if the copper is gold plated it is a bonus.
See my post on killing two birds with a stone for more ideas.