Kishin Egg missions are pretty simple actually. You fill out the template (it explains itself) and wait for an admin to check it. If it looks good, they'll give it a rank, 1-6. Missions over Rank 3 are recommended to be taken on as a team.
Rank 1: Rank one missions are easy missions consisting of a single, low-leveled Kishin Egg. If you succeed in this mission you will get 5 souls off screen in addition to the soul(s) you got in roleplay.
Rank 2: Rank two missions might have a Kishin Egg with a few powers or slightly above average speed and power. This is where a lone Dark Weapon might be placed. If you succeed in this mission, you will be rewarded 10 souls off screen in addition to the soul(s) you got in roleplay.
Rank 3: This is the time where you might see a Kishin Egg with a Dark Weapon at his/her side or two low-leveled Kishin Eggs. If you succeed in this mission, you will be rewarded 15 souls off screen in addition to the soul(s) you got in roleplay.
Rank 4: Missions in this rank may include small organizations of weak Kishin Eggs, a single strong Kishin Egg, or a decent Kishin Egg with a Dark Weapon. If you succeed in this mission, you will be rewarded 20 souls off screen in addition to the soul(s) you got in roleplay.
Rank 5: Welcome to the big leagues! This is where we recommend having at least one Death Scythe in your group or as your weapon, but not a requirement. You may encounter a Demon Blade running around with a pretty strong Kishin Egg or a group of mid-level Kishin Eggs with a Dark Weapon or two. If you succeed in this mission, you will be rewarded 25 souls off screen in addition to the soul(s) you got in roleplay.
Rank 6: Warning, these missions are reserved for the top of the line Meisters and their Weapons or groups. It's not recommended that a Meister/Weapon or even a Meister/Death Scythe pair go without a group. It could be anything from going after the lead Kishin Egg of a large scale organization to a Kishin Egg/Demon Blade pair on the verge of reaching Kishin level. Watch your back, one mess-up may be your last! If you succeed in this mission, you will be rewarded 30 souls off screen in addition to the soul(s) you got in roleplay.
That's about it for Kishin Egg missions. Oh, almost forgot. There is a hidden Rank 7 mission level, but this is only for site-events and signals the known appearance of a new Kishin.
(NOTE: If you see any problems with my system, feel free to bring it up with me or the other staff.)