Really sorry for your loss but absolutely agree with the above. I’ve ran with my daughter since she was about 8 months and would’ve been a bit younger than yours through the winter months. Just get a footmuff for your pushchair, it will keep them warm, dry and clean (:
I walk my dogs every day whatever the weather with my lo in tow (either in a carrier or a pushchair depending on the walk) and have done since she was 1 day old. I don’t see a problem with it as long as baby is appropriately dressed. The fresh air is good for the both of you. My lo is 14 months on the 29th October for reference.
No! Get some merino base layers on them and a decent cosy toes and you're good ✌🏻
Wrap them up warm and get out there! x