ccab, not to be a dick, but you get treated this way because you jump into these projects and then ask questions that are obvious to people who have been working with mobile electronics. It's like you want someone to hold your hand and walk you through it. You need to do more research and learn more before tackling these projects by yourself.
Anyways, back to your question. You can connect the wires anyway. Crimp caps, butt connectors, etc. What I would do personally is just use a pair of side strippers. Side strippers will strip back the insulation of a wire without cutting the actual wire itself. After the insulation is stripped, you can connect the wires and solder.