You're now in the Disneyland of punts. It's all good so long as you do your homework. AW and the Review pages of this site are your friend.
Olympia's an odd one but if you go to Hammersmith tube it'll take you to central London, and from there you can go anywhere in minutes.
If you set out what you're into then I suspect several people here will be able to direct / help you :-)