To distinguish the three dates, the 4th of April has the number 4 qualities a little more defined and robust. April 13 will require more effort and probably deliver some frustration as things tend to move slower. And the 22nd would be the right date for a particularly daring and grand-scale mission, one that aims for the sky.
As always, there is also a potentially negative side to this 4-4-4 arrangement of numbers. The 4 is limited in scope, doesn't deal well with unexpected changes and likes routine too much. The 3 can be so scattered that its energy is completely wasted, and the 8 also represents balance which, if you have not implemented the necessary effort, often causes a financial debacle instead of riches. However, if you are the kind of person (or company), that does not cut corners, tends to plan ahead carefully, keeps a close eye on the details and plays fair and square, your chances of starting a project that turns into a success are greatly enhanced.
All in all, the dates of April 4, 13 and 22 look very good for projects and birth dates. Where it does not bode well is on the global playing field, as the 4 and 3 combination tends to create tension in all the wrong places; the weather, politics and so forth. Considering how earthquakes, tsunamis, nuclear reactors overheating, and political unrest in the Middle East have already been wreaking havoc for quite some time now, it is hard to see what else can go wrong. But that is the nature of things. The pendulum always swings. What goes up must come down.