Much has been said about the benefit of bibs, but let it suffice to say that I know numerous people who have gone from shorts to bibs, I don't know any who have switched back.

- Wear the straps under everything but your HRM strap and base-layer (if any).
- Wear something over the straps.

(Women's bib issues are a bit different, but consult (at your own risk) the Assos catalog or this blog post http://comingthru.com/2010/10/cold-w...-your-friends/ for examples of them being worn)