Just for the record, those pedals are actually called "Clipless" pedals. Sounds odd I know, but they are called that because the old stirup type pedals were called Toe Clips. Therefore when you remove them the new pedals were referred to as Clipless.
As for the original question, running and biking on the same day isn't something you should do unless you have a solid base of fitness in BOTH sports. Some would say that is a minimum of 6 months to a year. If your workouts are just easy aerobic workouts you can likely start sooner. However, more demanding targeted workouts will more than likely cause injury unless you are well prepared.
That said there are two ways you can approach stacking running and cycling in the same day. First, a straightforward "double". A double would be like doing your run workout in the morning and doing your bike workout in the evening, giving your body the mid day to recover. A far more demanding workout is what is known as a Brick. This is stacking the running and the biking in the same workout. Triathletes do this to practice transitions from cycling to running. Essentially you would warm up appropriately on the bike, usually in a trainer at a track facility. Once you are warmed up do say 6 to 10 minutes on the bike at or just below threashold. At your desired time limit jump off the bike, put on your running shoes and do a mile tempo or race pace run. That is a brick. Usually the workout consists of 4 to 6 Bricks or more.
It really just all depends on your personal goals. Some really good articles and training tips are available at
Active.com 