What a cutie!
Tips for puppies in winter -- sleep in sweats. have snow boots at hand. Be sure to have a key handy in case you accidentally lock yourself out as you exit in haste.
MOST of my pups have been house trained easily. Best was when the older dog peed outside 3 or 4 times until the puppy got the idea. The last one -- it took a year... a year... a year! This was my fifth puppy... 5. 5th. 1 year.