LisaSH, your new handlebars

[KnottedYet]

"reach" is kind of how far the bars are from your saddle
"rise" is sort of how high the bars are relative to the saddle

(the saddle sits where it needs to be relative to the cranks, so it's not something to monkey around with once you find the sweet spot, but bars rise and reach and such can be played with a lot!)

A short reach handlebar will have a smaller/shorter pointing-forward bit on the top of the bar. If you look at the upper part of your bars from above, they kind of look like a staple before it gets bent up in a stapler, with the "legs" pointing forward. A short reach bar will have short "legs", so that your reach (distance from saddle) is shorter when your hands are on the "staple legs" or brake hoods, than it would be on a regular bar (which will have longer "staple legs" and put your hands farther from the saddle.)