What's up with my headlights?

The only time I can get the low beams to work is when the car is off and key is
in accessory position. Then, when I start the car, the only time I get headlights
is when they are on bright (and then it's just the high beams, not both sets of
lights). Blinker makes a too-quick click repetition too. So, I changed the relay
for the blinker/lights column. No change. What else do I need to check?