Interesting, I've been planning a similar project....
The Swiss Army Bicycle is called the Condor. Switzerland disbanded their bike troops in 2003. Here are some nice close-ups of the Condor:
http://www.bikecult.com/works/collections/sab1935.html
The US Army used Spauldings and Popes briefly during the Spanish-American War (25th Infantry,)
http://www.pedalinghistory.com/PHmuseum.html
but the real champs of bicycles for combat were the Brits. Entire bicycle cavalry and infantry units were used by the Brits in combat during the Boer War and WW1, most rode the venerable Raleigh DL-1. The World War period US Army-issue bicycles were made by Westfield Columbia or Great Western and had 28" wheels and a 24" diamond frame with two top tubes.
WW1 US bike:
http://www.g503.com/forums/viewtopic.ph ... 8facbeb82c
WW2 US bike:
http://www.robertsarmory.com/bicycle.htm
The Imperial Russians had regiments of folding bicycle infantry during this period, as did the French and Italians - when the bike wasn't being ridden, it was folded up and carried like a backpack. The Germans wrote a textbook on the use of bicycles in combat titled "Die Radfahrtruppe."
The Germans in particular used a huge number of bicycles during WW2, to help troops keep up with the Panzers during Blitzkrieg. Here are links to good descriptions of the Wehrmacht Truppenfahrrad - the Soviet ones were virtually identical, since both were based on the quintessential military bicycle, the Raleigh DL-1. Anyway, the links:
http://forum.axishistory.com/viewtopic.php?t=70557
http://www.dererstezug.com/GermanBicycle.htm
Here's a place that sells the Eastman Roadster DL-1 repro and parts:
http://www.yellowjersey.org/EASTMAN.HTML
WW2 Soviet bicycle troops were usually razvedchiki, or scouts - the equivalent of US Army Rangers. Each bicycle scout was also issued a "fighting dog" to accompany him behind enemy lines and guard him as he slept. I swear I'm not making this up - there's a good pic of Soviet bicycle troops with their dogs on parade in Red Square on page 119 of Fitzpatrick's book "The Bicycle in Wartime." Here's a Soviet medical officer with a captured German bike:
http://www.ostfront.com/Merchant2/merch ... =New_Items
Good luck and post pics!