This is how I make my skinny strips. I start with something wider, press, THEN trim. Don't think that wide leftover strip is wasted, because it isn't. It then becomes the second leg for the bird blocks.
While I only need 1-1/2 inches for both legs, that isn't enough fabric to work with comfortably, so I make my strips wider. There might be a strip about 1" wide left over when I am finished, but at $12USD per yard, that little strip only costs me 33 cents, which to my mind is a better value than the cost of wasted time, frustration, and burned fingers.
(By the way, at $12USD, a square inch of fabric costs .0079 cents.)