With your iPhone connected to the computer, click on the iPhone in the iTunes left navigation bar and choose the "Music" tab. Make sure "Sync music" is checked, and also that your new playlist is selected. On the "Podcasts" tab, make sure "Sync" is selected (along with your preferences on how many episodes to sync). Synchronize your iPhone.

Open "iPod" on your iPhone and click the "Playlists" button on the bottom left. Choose your playlist, then "Shuffle."

As you're listening to the first podcast, click on a tiny button near the upper right corner that says "1x" until it says "2x." What this does is double the speed that podcasts are played. The iPhone speeds it up without raising the pitch, so it doesn't sound like you're getting a lecture from the Chipmunks.

Now, as you're doing random tasks, play your podcasts and pause when you need to. You'll acquire a huge amount of knowledge in half the time it would take at normal speed. And subscribing to podcasts and listening to them serially in a playlist eliminates wasted time fumbling around for content.