I have a Trek 930 from the mid-90's and I would like to change the stem and handlebars on it. From what I have figured out, the current stem on the bike is a 1" threaded stem. I would like to put an adjustable stem on the bike like this one I have found on amazon.com:
http://www.amazon.com/Avenir-Adjusta...4696195&sr=1-1
This stem is available in 90mm and 110mm. I am assuming this measurement refers to the length of the stem that fits into the bike. Will this stem work for me?

I am also wanting to swap the flat handlebars for something like this:
http://www.amazon.com/Wald-5-25-Inch...4696222&sr=1-7
Will these handlebars fit with the stem I listed above?

Thank you for your help.