There's two things I prioritize in the morning:
- Preparing for the day's events
- Strengthening willpower for the day
To comment on the second bit, willpower is like a muscle. If you don't use it, it degrades. If you use it to small degrees regularly, pushing it to painful levels, it improves over time. But when you use a lot of it, it is difficult to use it again in a short period of time and requires some time to recover.
Just like athletes perform stretches regularly before doing the hard work, you'd want to 'stretch' your willpower every morning before doing whatever you want to do. It keeps you going longer throughout the day.
[Source: Roy F. Baumeister, M. Muraven, D. M. Tice, "Longitudinal Improvement of Self-Regulation Through Practice: Building Self-Control Strength Through Repeated Exercise"]
You'll want to practice a lot of these things into a routine, so that you can do it automatically.
Wake up. Check emails, facebook, whatever it is that you receive your daily news. Try not to spend more than 10-15 minutes on this and don't reply to anything yet. Your brain is a little groggy now, so this is kind of a little incentive to get yourself out of bed.
I'm a forum person, so I normally open threads that I plan to reply to later. You can also leave open emails that need to be written that morning and so on. At this point, you want to acknowledge them.
The trick to doing something difficult is in sandwiching it between two things - a cue and a reward. There's usually something difficult that you want to do every morning. IMO, a good willpower 'stretch' is exercise, because everyone could use more and it's something that can be ramped up once it gets too easy. But if needed, you can replace it with something else, like if you need to go to the bank or something.
Start with something light. If you eat cooked breakfast every morning, cook it. If you need to pack lunch or iron your clothes, do it now. I normally brush my teeth and make my bed at this point. This will be your cue to start the difficult part.
Then do the difficult part: exercise. Don't strain yourself, just go for enough to make you sweat and pant. Walks are especially nice - they give you time to think about things, namely those emails and forum posts you've been reading earlier. You'll know which ones aren't worth replying to and which ones you'd still obsess about.
Then do your reward. This is often something like breakfast. I try to give myself a hot cocoa in the morning or something sweet. If I feel like doing a heavier exercise routine (like on weekends), I'd cook something extra nice. Also a good time for Facebook and newspapers.
It takes some time to get used to (maybe a month or so) but it will greatly reduce your resistance to doing the difficult part of the day. The nice part about this is that the difficult part can be swapped as long as you maintain the cue and reward.
This is where you do the rest of the things needed right before work. Showering, wearing clothes, deodorant, make up, combing your hair.
Coffee/tea, i.e. some caffeine is also recommended if you're still feeling groggy. Don't take it too late in the day, this is the best time.
Try to build these things into a daily routine. Sort out your clothes and things at the same place every day. Put your toiletries in the same place. If you don't have to search for things or figure where to put them back, you have more mental energy to work with for the rest of the day.
If you have extra time, go ahead and respond to those emails and forum posts or whatever. At this point, you have enough willpower to resist replying to things you don't need to and should be able to identify which are the most important.
Refrain from the fun stuff
Note that your willpower is highest early in the day and lowest at the end of the day. Fun stuff should be a reward for going through the day. Leave it as an evening routine.. daily games, hanging out with friends, etc.