How long would it take to travel 100 light-years with our technology?
Using one of the fastest space crafts ever developed, the Voyager 1 space probe, it would take roughly 1,736,809 years to travel 100 light years, travelling at its maximum velocity of 62,140 kph.
Hope this helps.
How many nukes can we move into space, to power this "technology"?
... maybe 0.1c top speed, so about 1000 years, ship's time. Would not want to go quite that fast, since interstellar gas would act like nuclear radiation. Might still want to reverse the ship after initial acceleration, to let the "shoe" act as a radiation / impact shield.