When shooting the moon, keep in mind that it's actually "daytime" on the moon, so we use the "Sunny 16" rule. ISO 100, F16, 1/100 shutter.
Since you want a faster shutter, f11 1/200, f8 1/400, f5.6 1/800 are all equivalent exposures at iso 100.
For focal length, while 300mm or 10x will get you a decent moon, just don't expect it to fill the frame. As a comparison, my shots here
http://www.flickr.com/photos/88821321@N00/2280368947/ of the 2008 Eclipse were taken with a 500mm lens + 2x teleconverter, so about 1000mm plus the crop factor of my 1Dm2 (1.3x) got me pretty close to full-frame.
On the 19th in the GTA, the sunset is 7:28 and moonrise is 7:52, so you should be able to get the moon in twilight with a lovely deep blue background. A location near the lake will be ideal. We used to go to Rouge Beach for the moonrise.
For help in figuring out sunrise, sunset, moonrise and moonset times and where the sun and moon will rise, I use
http://photoephemeris.com/, it's a free tool and works great.