For offensive purposes, the name a Pokemon has should convey the information you cannot get from the “select Pokemon” screen when lining up an attacking team. At a minimum, I would put the move TYPE for the fast and charge in the name so as to tell two of the same species apart.
For raiding, I would go so far as to name them your raid target (i.e. Moltres, Zapdos) for an easy find in your Pokedex.
I like to name them Fast Move/Charge Move IV
The ones you see in the pic with 1- in front is so I can find my #1 preference battles quickly through the search function as I have other lower CP Tyranitars with Bite/Stone Edge.
My Vaporeons with Gun/Hydro are named 2-
I use a system that works for me mainly because I’m a level 36 whose top CP Pokemon are all useable with good IV’s and optimal movesets for their purpose.
When naming each of them, I’ll put their IV’s, and their purpose. For example, my Blissey is called ‘93% // D’, signifying she is 93% IV and used for defending only. Another example would be my Golem, which is 98% // A, implying the IV and that it is used for attacking only. Some Pokemon can be interchanged, for example my Dragonite ‘96% // AD’.
https://pokemongo.gamepress.gg/ ~~~~ This website is helpful at checking your Pokemons movesets to see if they are optimal for gym defense or offence.
(Move 1)/(Move 2)(IV)(Best IV Stat)(level)
So they can range from ZH/HS89DHA25.5 TO L/E8H4 lol
Actually this would be the longest name then:
ZH/HS100DHA25.5
: Edit - since the search criterion have been updated & expanded I no longer use the star or 1st letter of the mons name (no need to now). Just quick then charge move & IV, but with 900 mons it is taking some time to update them all… 
I have my box in 1000, imagine if I decide to change, lol
AttIV/DefIV/HPIV/ChargedAtt/AvIV, or just 100/Charged Attack:
Kyogre, 87IV, Thunder: CP2407, 13/14/12T87
Lugia, 100IV, Future Sight: CP2570, 100F
I call all of my 100% Pokémon 100⑮⑮⑮,and the 98% like 98⑭⑮⑮ and 96% 96⑭⑮⑭.Very Simple.
How to do those emojis?
Inside the names of the mon’s?
I use Calcy IV for calculate the IV’s, and you can configure the app in several ways, and then it let a name in the clipboard which you paste after as a Nickname to your mon.
I cant even use emojis in mons names…
These things are not emoijs.I forgot how i did it but maybe you can find it on Youtube.
And btw i have iphone sp i cant get calcyiv
I prefer not to put a moveset in the name of a pokemon. That would only make it easier for attackers to pick their counters, and it’s already too easy to take down a gym.
I think gyms should no longer show what defenders are present, except for the last one added.
I just do Gyarados100 or whatever the IV is. Only with 80+.
Btw 100 = 100IV
I used calcy IV for it.
Only you can see the name of your mon. It appears to others as the correct Pokémon name (e.g. Dragonite, Tyranitar) it won’t show your nickname for it.
I use overall iv attack stat Defense stat Ho stat moveset
Dragonite is 98151514DTDM
I named my 98 tyranitar Bite Stonedge lvl 40:
98 B/SE 40 (if it was a 100 iv : #100B/SE 40 so i can search on # to see all my 100 iv pokemon)
