[Rebel_Ace]

"...And what location south from the 60° parallel in the Southern Hemisphere would you recommend me to go to?..."

Did you even bother to read the article you posted? Here are the relevant passages:

"At its closest on September 29..."
"...Soon thereafter, experienced backyard astronomers north of the equator will have a chance to find Toutatis..."
"...By early October, it will suddenly be re-emerging into northern skies as its apparent trajectory will bring it back into very favorable view..."

Looks like you don't have to go to the Southern Hemisphere.

[Truth666]

1. This
At its closest on September 29, Toutatis will be visible only to observers in the Southern Hemisphere.
SUGGESTS that millions in the Southern Hemisphere will be able to see it. What it fails to mention is that "it will be visible only south from 60° S". So it will be visible to some people in the Antarctic - if there are any there, provided that "they use a good program like Starry Night Pro to plot its incredibly rapid motion across the sky," ...

[Truth666]

Now let's checkthe second "window of opportunity" ...
2. "...By early October, it will suddenly be re-emerging into northern skies as its apparent trajectory will bring it back into very favorable view..."
Again the same SUGGESTION technique is used :
by then the asteroid will be moving away from Earth and getting dimmer. It will quickly become "very difficult" to spot even with an 8-inch telescope, he said.
The reader is lead to believe that with a 8-inch+ telescope he will be able to spot it ...