The next Full Moon is on the 1st of October. The Moon rises around 19:20 on the evening of the 1st in the East. The actual full moon isn't until 22:05 however it is best viewed earlier in the evening. This Full Moon is also know as The Hunter's Moon.
If you manage to catch a full moon as it rises above the horizon it will appear to look much bigger. Check out the video further down the page that explains why!
This image is a screen shot from Stellarium, a fantastic piece of free software.
THE NEXT SUPERMOON ISN'T UNTIL 2021 NOW!
The scientific name for a Supermoon is Perigee Full Moon. A Supermoon occurs when the full moon is at the closest point of its orbit to the Earth. The Moon will look much closer and brighter.
The Supermoon is normally best viewed as it rises. The best time to view it is when it is just rising, as it will appear to look much larger.
The video to the left explains what a Supermoon is!