I've purchased a pico flickering light. We are building a 1/48 scale hobbit hole inside a tin can. It's going into an old duct hole along the baseboards in front of a no-longer-used chimney. When you open the door, a switch will close and the flickering light will produce a faint glow in the hearth of a fireplace.

Here's the problem: The wire on these flickering light is so small, I am sure I should purchase some kind of connection hardware rather than stripping and soldering the ends of the wire. There's a watch batter power supply that includes a connection bay, but I don't see a robust way to add my switch in series with it. I am assuming that the wires from the power-supply to the connection bay are the same gauge as the pico lights? Is my question clear? Basically I am asking: what's an easy way to add a 3rd party switch to the brick-light system. Thanks.