A typical 36 hour Leve scheme completing 8 + 8 leves, fighting in only 2 cities per day:
1.) Grab all your local leves that are based at the rank 1 camp (don't get the delivery ones), and all the highest rank Battle leves you can complete.
2.) Go to Rank 1 camp and complete local leves (3 leves).
3.) Go to Rank 10 camp and complete battle leves (3 leves).
4.) Teleport to the next city and repeat. (Brings your total to 6 + 6 leves)
5.) At the end of the night you can teleport to the 3rd city, select your remaining (2) Local and (2) Battle leves and log out. Don't complete them yet.
The next day:
Now you have a couple leves left over from yesterday. These leves are exchangable though. New leves are availble in the same city!
1.) Now select 3 Local leves and 3 Battle leves. (That's 5 + 5 leves all for one city.)
2.) Rank 1 camp complete 5 local leves.
3.) Rank 10 (or 20) camp defeat 5 Battle leves.
4.) Teleport to the next city.
5.) At this point you can exchange the 2 leves from the last leve period and get 3 more. (You have only used 6 spots in the current leve period.)
6.) Once again at the end of the night you need only teleport to the next city and select the remaining leves. not complete them.
In this way you need only complete the leves for 2 cities to stay maxed out completing all available leves. And you never have to run back to the city. You get to the furthest camp for Battle Leves and teleport directly to the next city from there.
You are also completing 2 days of availabe leves in the City you start in each day. In this way you can complete 8 + 8 leves during every 36 period, only using 12 total anima. I find it only takes about 3~5 hours a day.
The part where you select the leves but then log out is the real time saver, allowing you to complete x2 leves for a city at once.
I hope players find this idea helpful!