Since the coil current of K1 will pass through R3, it'll need to be a high sensitivity type with a high coil resistance, maybe a reed relay. It only needs to switch 0.1A.
K2 will be bigger, having a much lower coil resistance (maybe 150 ohms), and will need to switch at least 10A, preferably 20A (to allow for a 4-lamp setup).
See attached image for actual headlamp wiring.