Question

What areas of Earth should meteorologists monitor to detect developing hurricanes?

Answer 1

Hurricanes always start out in the oceans, normally in the tropical latitudes, from which they move. See:
https://spaceplace.nasa.gov/hurricanes/en/
for a graphical picture.

Explanation:

Hurricanes, cyclones, and typhoons are all the same weather phenomenon; we just use different names for these storms in different places. In the Atlantic and Northeast Pacific, the term “hurricane” is used. The same type of disturbance in the Northwest Pacific is called a “typhoon” and “cyclones” occur in the South Pacific and Indian Ocean.

The ingredients for these storms include a pre-existing weather disturbance, warm tropical oceans, moisture, and relatively light winds. If the right conditions persist long enough, they can combine to produce the violent winds, incredible waves, torrential rains, and floods we associate with this phenomenon.
https://oceanservice.noaa.gov/facts/cyclone.html

Since Coriolis effect is required for a long term storm like a hurricane, it is not necessary to monitor the areas between 5 degrees N and 5 degrees S latitude. In that band the Coriolis effect is almost no existent and any forming low would fill before it could develop into a major storm like a hurricane.