Tristan and I practice yoga every morning. Our current favorite pose is Happy Baby, which looks like the "pose" babies get into when they play with their toes. Some teachers call it Dead Bug pose. Tristan calls it Happy Dead Baby Bug. Whatever he calls it, it's a great morning hip opener.
To get into Happy Baby (aka Happy Dead Baby Bug or, in Sanskrit, Ananda Balasana), lay on your back and bring your knees over your chest. Grab the insides of the soles of your feet. Keeping your thighs close to your chest, bring your feet over your knees with your feet flexed. Your knees should end up outside your arms. Gently draw your knees down into your armpits. If your tailbone starts lifting, press it back down onto the floor. It's fun to rock from side to side. If you have enough space, rock all the way to one side then back to the other.
Start your morning playing happy dead baby bug. Your hips will love it, and it's hard not to giggle like a happy baby. Or a bug. Whatever.