I was at a workshop with an Handi Quilter educator in the fall, she wore a bib apron, She said most threads and lint would stick to it, plus it had pockets for tools etc.
Me, I have 5 pets, a few loose threads are not going to make any difference. I do not have carpets in my home, so cleaning them is not an issue.
I do notice that some fabrics, denim as mentioned and Ponte knits do not attract thread and lint as much as other fabrics. Wool sweaters are the worse.