We dont have a routine in our house so much as going by the clock, but like Maya, we have a set of cues that lead up to bed time.
My DD went through a stage of waking up at 3 am but she grew out of it after while, I think it was growth spurt.
As for bathing we have always bathed every night and it hasnt affected her skin at all.
Usually now we do dinner, bath, play and bottle in bed every night, not at any set time, but always in that order.