For all of you that are trying to figure out how to start the grind to a team of 5* monsters, I would like to tell you some things that I have done that got me to a good grinding spot.
1.) Focus on the Water Warbear; he is going to be your bread and butter for grinding in 99% of cases. Even 3* HP% energy runes upgraded to +9 will work if he is maxed out 4*. He should be your first 5* unless you pull a great 4* or 5*.
2.) While you focus on the Water Warbear, continue to collect and level a good team around him. 2*'s to work on are Wind Imp, Wind Warbear, Fire Hellhound, Wind Yeti, Fire Yeti, Water Howl, Water Hellhound. Take them and get as far in the campaign as you can. Your goal is to find a team of 4 that can auto Famion Volcano 1. Usually this involves running at least the first two zones in Hard (and Hell if you can) to get them 3* runes. Once you find that team, the real grind begins.
3.) Grind Famion 1 with your team of 4 and don't spend a ton of crystals until you have 200k. Once you have 200K you can start buying 2* creatures from the shop to level your skills; but you want to make sure to always have enough to buy a Mystical Scroll if they appear. Eventually you will be able to farm Famion 1 with 3 monsters and the extra slot will be for whatever creature you are trying to level.
4.) Famion 1 pays off in a ton of different ways. You are going to sell a ton of runes for good money; but you will also get 2* hellhounds, 3* salamanders, and 3* inugamis. The first Inugami you get you will level IMMMEDIATELY for your team. An awakend Fire Inugami and Water Warbear can duo Famion 1 which means you are now leveling 2 other creatures at the same time.
5.) The extra hellhounds and Salamanders can be used to power up the levels of you other creatures faster but I use them for something else. Every time you get a 2* hellhound you can level him pretty quickly to 20 and then use two other 2* hellhounds to make him a 3* evolving fodder. Same thing with the Salamander but you can make him a 4* fodder. Doing this over and over is going to net you a bunch of 3* and 4* that you use to get your main team creatures to 5*. Soon you will be OK with netting 3* creatures from your mystic scroll pulls because they will allow you to evolve other creatures you have been grinding.
6.) Any time you need a break from Fam 1 you should be farming essences in Cairos dungeon. You want to use a team that can auto at least level 3. The benefit here is you are going to rack up essences and should also net a couple of Mystic Scrolls per week that drop from the guardians. Start your focus on the Magic dungeon since you will need regular magic essences for every awaken.
That is all I can think of right now; let me know if you have any specific questions. There are others who may have additional tips too.