Heating defective / delayed interior late warm

Hello, since it has become colder, I notice the following problem, the interior is getting warm very late. More precisely, it comes after the start in the morning, at the moment it is in the garage 10 degrees, always cold air out, until after about 15 minutes drive and/or engine temperature about 85-90 degrees, it becomes “beat-like” warm. As if a valve opens, and then “right” warm air flows into the interior from all ventilation openings below/middle/above. If anyone has a tip what that might be. Thanks for the help, in advance.