Step 8: Make Connections
Once the parts are mounted, use 10AWG or thicker insulated wire to connect everything correctly (see schematic). If this seems too confusing, then perhaps you should try a simpler electronic project first to familiarize yourself with reading and following electrical schematics. Make sure you keep the connections as short and tight as you can to minimize stray inductance and resistance that can hurt your coil's performance. Specialized high voltage wiring is not necessary unless you plan on sticking your fingers into the coil while its operating (bad idea!).
While you can use alligator clips to test everything before you mount it, be aware that the performance of the coil will decrease and you risk destroying your clips due to overheating. I melted multiple alligator clips this way - they often fail where the wire is soldered to the clip and can usually be fixed by resoldering the two together.
If you are building a significantly more powerful Tesla coil than I did, it may not be the best idea to use wood in your design. Wood is not an insulator at high voltages and on a humid day, you might find that your primary circuit will arc through the wood and start a fire. At the very least, do not mount any electrical components directly onto the wooden base, use plexiglass, acrylic, or plastic or ceramic insulators wherever possible. This is not a concern unless you are pumping a kilowatt or more into your coil. (A 9kV 30mA NST only draws about 270W).