Basic Parts for wiring up Arduino (5V):
1pc Breadboard
Around 800 points which is double size of the one from Arduino Starter Kit
http://www.ezk.cz/nepajiva_kontaktni_pole.htm
xpcs 22 AWG wire
American wire gauge (AWG), standardized wire gauge system for the diameters of round,
solid, nonferrous, electrically conducting wire. This one should be with diameter 0.644mm.
Arduino Starter Kit
1pc 7805 Voltage regulator
A mechanism to provide a consistent 5V Supply.
http://www.ezk.cz/stabilizatory_reference.htm
2pcs LEDs
Arduino Starter Kit
2pcs 220 Ohm resistors
Arduino Starter Kit
1pc 10k Ohm resistor
Arduino Starter Kit
2pc 10 uF capacitors (not from ASK - there are only 100 uF)
http://www.ezk.cz/kondenzatory_elektrolyticke_radialni_elrs.htm
1pc 16 MHz clock crystal
http://www.ezk.cz/krystaly.htm
2pcs 22 pF capacitors
http://www.ezk.cz/kondenzatory_keramicke.htm
1pc small momentary normally open ("off") button, i.e. Omron type B3F
Arduino Starter Kit
USB to Serial Communication Board https://www.sparkfun.com/products/12731 (If you plan to use it and have not yet soldered headers to the breakout board, now would be a good time.)
Bootloading your Atmega Chips