The amendments are all publicly available at congress.gov. The Washington Post has a good overview article — https://www.washingtonpost.com/news/the-fix/wp/2016/06/20/the-senate-will-vote-on-4-gun-control-proposals-monday-heres-everything-you-need-to-know/
Nobody knows exactly what will work. Heck, we don’t even know how bad the problem is since the GOP blocked the CDC from researching it.
We do know that the program in Australia decreased injuries and deaths inflicted by firearms. We don’t know whether a program like that would work in America.
We also know that local programs, while effective, are easily circumvented by jumping in a car and going over state lines.