So I got up (a little earlier than usual), got dressed, and set my iPhone's timer for five minutes. I didn't even start the coffee first. Aside from absolute necessities, God got my first five minutes.
Another thing I did last night was plan ahead about what I wanted to pray about. That doesn't mean that the Holy Ghost wasn't involved in my prayers. It just means that he and I worked it out beforehand about the subject matter. I knew I wanted to pray for a guy at church who I've become burdened for and I wanted to pray for my church in general, as we are going through a transition of sorts.
When you're tired, it's hard to pray "well." Or pray at all. By planning ahead, and setting a timer to keep yourself honest, you'll go a long way to reaching your prayer goals. Give it a try and let me know in the comments how it goes!