Travel to Kaunas with baby

My partner and I are planning to visit Kaunas in December with our 3 month old baby for a prolonged weekend.

In my home country it’s is very normal to leave the babies to sleep outside in their stroller when you go visit a cafe or restaurant or the like (as long as it’s not below -10 degrees) - is this also the case in Lithuania? Also, is Kaunas stroller friendly or would you recommend to have the baby in a baby carrier?