Your comments on the 0.5" wide single-fold bias tape maker made me so happy, I just had to follow up with a 1" wide single-fold bias tape maker! The great thing about 1" single-fold bias tape is that it is but 1 fold away from being 0.5" wide double-fold bias tape, which is incredibly useful for binding and finishing edges.
The contraption is optimized for folding 1.875" bias strips into 1" wide single fold tape. You can tweak the starting strip width a bit to get slightly wider or narrower tape.
Here is how it works: The strip is fed into a "slide" that does the folding. The top notch and tabs keep the strip centered, and the "splitter" keeps the outer edges from curling or overlapping. The folded tape is pressed as soon as it comes out of the slide, and it goes under two more tabs to set the folds as they cool.
Now I'm hearing the How it's Made music in my head AGAIN!
The result is 1" wide tape with folds that are a bit over 1/4" wide (just like purchased tape of this size).
I played a bit with a single-fold to double-fold tape maker, but honestly, the easiest thing is to fold the 1" tape in half lengthwise and press to make 0.5" wide double-fold bias tape. You can make the folded edges flush, or leave a bit of an overhang for single step application (described by Angry Chicken in this video).
Now that I have an easy, foolproof way to make double-fold bias tape, I'm going to have to knock out a bunch of Betsey Aprons for the holidays!
Download the free printable bias tape maker here.
See this post for more information about cutting bias strips.