Log onto the website of the train, bus or airline you'll be taking.
Click on "maps" or "route maps" and travel routes will appear on the site.
Some cities, such as New York City, have so many routes that you can find routes for different sections of the city on the website. Frommer's online has interactive maps for most cities and individual city transportation authorities' websites have route planning sections.
Go to a map website with directions; both google.com and yahoo.com offer the service.
Enter in your starting address and ending address. The website generates several different routes and you can choose the best one based on distance or time.