Hopefully this isn't a stupid 'problem'. Now that it's getting colder and damper in the early mornings/late evenings, I'm having horrendous problems with condensation in my car. I get in, start it, and within 10 seconds the windscreen is heavily misted. I put the blower on, open the window a bit, use a demister pad and that'll help (although it's still not clearing it completely, bizzarely), but 30 seconds later it's back and I'm having to use the demister pad again (whilst trying to see where I'm going). The blower is useless until the engine has warmed up, by which point I'm halfway to work. 
Incidentally, the last few winters I've had problems with the inside of the windscreen icing up. I tried some moisture absorber packs which helped slightly, but I still can't quite fathom why I'm having these sorts of problems with moisture in the car. Does it mean there's water/moisture getting in somewhere, or could it mean the inside of the car is just damp? Would opening or closing all the vents help?

Incidentally, the last few winters I've had problems with the inside of the windscreen icing up. I tried some moisture absorber packs which helped slightly, but I still can't quite fathom why I'm having these sorts of problems with moisture in the car. Does it mean there's water/moisture getting in somewhere, or could it mean the inside of the car is just damp? Would opening or closing all the vents help?