The capture team I’ve used the longest:
Nexus Whelpling 122
Mechanical Pandaren Dragonling 122
Molten Corgi 111
Most frequently used leveling team - especially for Squirt
Lost Netherpup 221
leveler
Fel Pup 211
It’s an old strat but a goodie 
somehow had same reply posted on my main and on this alt so deleted Ebonfire’s duplicate
Lord Woofington (1/1/1) or Nordrassil Wisp (1/1/1) for safe catching depending on damage resistance, paired with Nexus Whelpling (1/2/2) and Iron Starlette (1/1/1) to kill everything else in the battle quickly. In Undermine there are so many Mechanical pets that I switched Nexus Whelpling for Winter’s Little Helper (2/1/X) or some strong Elemental damage dealer.
Grumpy, to reduce tje capture pet. Zeppelin usually get the win afterwards, but have Idol to be there in case.
I could use a level pet in it, but that isn’t the point of a capture team.
I have three teams, usually a Grumpy (since they are basically free) and variations like Darkmoon Tank, etc. Rarely use them though,
My capture team always has a pet with a ‘weakening blow’ type ability. I usually use one of the dogs (Grumpy or Corgnelius), but have swapped in Terrible Turnip occasionally. The other two pets include one with ‘sandstorm’ (Anubisath Idol, Living Sandling, Pebble, etc.), and the last pet is typically Emperor Crab (or similar) or maybe Emerald Proto-Whelp.