At any given time, the radiant for the Eta Aquarids (or any other point in the sky for that matter) rises at the same local time for one location as it does for any other location. However, sunrise happens a little later in the southern hemisphere during May than it does in the northern hemisphere. This means that Aquarius has risen higher in the pre-dawn sky giving Southern Hemisphere observers a better chance of seeing meteors from this shower.
Observing Tips Spotting meteors is a bit of a tricky business though and I have generally found that it is best to keep your gaze moving around, but focused on a point about 40 degrees away from the radiant.
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A really easy way to estimate 40 degrees is to stretch out your arm and, while keeping the palm of your hand facing away from you, stretch out your fingers. The distance from small finger to thumb is about 25 degrees so two of these will give you a rough estimate of 40 degrees.
Looking directly at the radiant means that any meteors appearing at that point in the sky will be heading straight for you and will burn up high in the atmosphere. However, as they will be heading toward you, any trail left by them will be very short and difficult to spot.