Smaller alar rims
You can get smaller alar rims by placing excisions of your alar rim on the inside of your nose rather than the outside; this significantly reduces the risk of scarring.
Slimmer alars with no scars
When patients only desire a very minimal amount of narrowing, a small wedge of skin can be removed to narrow the width of the nostrils. The incision is located completely on the inside of the nose
I want slimmer alars and no scars.
A slight sliming can be done using only internal scars. Another treatment to consider is increasing tip projection using cartilage grafting. The increased height helps to give an illusion of narrowing.
You can slim the nostrils a bit with all internal and hidden incisions. You appear to be a candidate for this bases on your photos. The exact plan will be determined on an in-office exam. Best wishes.