A cold toilet seat can put a damper on any morning, but socks can help. This will only work if your toilet seat is U-shaped, not a complete oval, but all it involves is taking a pair of socks and popping them on the ends of the seat. This should keep your butt warm through spring.
uhmm...no, it doesn't work like that
fan has not enough pull power to suck the colder air from floor level, you need to force warm air that is stored on ceiling level down so it mixes with the colder
that is much more efficient way of heating up large air volumes