Thanks!

No. A useful approximation of the course of a typhoon can be made from about three to four days in advance. They become more and more accurate, as the storm approaches. Predictions more than four days in advance will come with a high factor of uncertainity, although the very rough direction might be predictable.

Concerns about typhoons aren't really a reason to cancel a trip to Tokyo. Okinawa- perhaps, yes, but not Tokyo.

In Tokyo June is a rainy season, though. It may rain quite a lot, and definitely the humidity is extreme.
It is getting hot in July on top of the humidity, it can be uncomfortable weather during these two months.

As for typhoons, see the following page:
http://www.japan-guide.com/e/e2117.html

http://www.japan-guide.com/e/e2273.html

Did you not see the link posted earlier in this thread?
http://www.jma.go.jp/en/typh/
Nothing else on the horizon at the moment, but at this time of year, it would be wise to check the site again before you arrive.

I noticed that on Japan Times website and other news sites, they don't seem to even mention it. Is that because they really aren't that big of a deal compared to a hurricane that would hit the US, for example?

Note that the Japan Times is a newspaper, so the news on their website can often be more than 24 hours out of date.

Select Western Pacific Storm Advisories, and select Tracking.