We have two stoves in the house.
If I light them and forget to open the air vents which are just under the door ,the smoke billows out.
Maybe play around with how much you need to open the vents and see which works best.
On one of the stoves there is a sliding vent at the top of the door which must be kept to the right each time the fire is being lit,along with a sliding vent at the bottom and I tend to leave this half way open.
On the other stove there is two vents at the bottom of the door,and they are circular,It took a while to figure out the best way for these to work but in the end leaving one fully open and the other half way seems to work best.
When the fire has taken hold I close the vents but when I put more turf or coal on ,I tend to open the vents again to help it ignite.