I'm really new at this. The answer here is probably so obvious that no one writes it down. That said, I don't have anyone to ask in person, so here goes.
I want to connect the Arduino to something that uses larger wires, simply for convenience.
The Arduino female pins work well with 22 gauge solid; I'm trying to connect it to a button in a box 10' away, and it's much, much, much easier to wire that with something slightly heavier. (I also don't know if loss will be substantial, either with 22 gauge or something thicker; line loss may kill this idea yet, not sure.)
What's the best (most common?) way to go from the tiny jumper wires to something larger? How far away (via wire) can you put a switch or button from an Arduino?