Where do hummingbirds go for winter?

Question

When is the right time to take a feeder away and when is the right time to put it back out again?

Answer 1

They leave around late september to early October, put it back out when its warm.

Answer 2

Mexico and South America.

"When to Take Down the Feeder

Hummingbirds will not delay migration if a feeder is present; they are driven by forces more powerful than hunger. If you live in the southeastern U.S., leaving a feeder up might attract one of the western hummers that visit the region in small numbers every winter. The Pacific coast of the U.S. (and extreme southwestern Canada) has a population of non-migratory Anna's Hummingbirds; if a feeder is maintained over the winter, hummers will visit it year-round. Some other locations near the Mexican border also have winter populations of several hummingbird species"

(From hummingbirds.net)

So - take it down when you stop seeing hummers.  When that is will depend on where you live.  They will leave northern states sooner than southern states.

In the spring - that same site has a terrific hummingbird migration map - so you can track their northward progress, and you'll know about when to start looking for them in your area.