To save yourself some time, you can get your current events all in one place using feedly. Not all websites have feeds, but most do, so try adding your favorites to feedly.
You can save yourself some awkward conversational moments with your client by keeping up on current events. To keep it professional it's best to choose fairly neutral or positive topics--stay away from polarizing topics like politics or religion. Topics like the latest movies, TV, books, technology, design, travel can be safe but interesting topics, depending on your interests and your client's.
The sites below can get you started.