Here is likely the simplest way how to make working cell with what you can "find" at home. If done similarly it will just work.
Titanium flake, Nickel wires, Lithium, D2O, jar and 4 - 5V DC power supply. That is all what you need.
WARNING: This cell is emitting radiation or radioactive particles of unknown kind. Get big pancake detector with thin mica window to detect them. Do not use GM tube based detectors.
After 3 and more days you can measure 3 - 5x of background level at the top of the cell or near the surface of a cover of the cell.