Decided to share the only Team I have battled with.
I built it with my favorite Puppets so it ended up with several weaknesses, and the forms and builds of some of them are not the best because I am testing, so any help will be appreciated.

Attack Rumia (F) @ Mistress Outfit
Ability: Levitate
EVs: 6 HP/252 ATK/252 Spd
Jolly nature (+Spd,-Sp.Atk)
- Braver
- Poison Jab
- Superpower
- Trash
Physical sweeper, Anti-Lead?. Her purpose is to take down the opponent's lead and switch out to revenge kill something later. Not using Special Bloomers because I am not really a fan of the item.

Nue (M) @ Leftovers
Ability: Pressure
EVs: 252 HP/6 Atk/252 Spd
Jolly nature (+Spd,-Sp. Atk)
- Brave Bird
- Poison Jab
- Swords Dance
- Recover
Physical Sweeper. Experimental Nue set with investment on HP to take the most from Recover and attempt multiple SDs. Sometimes works and Recover let's her stall a bit, but most of the time she only gets to SD once and sweep what she can.

Yamame (M) @ Leftovers
Ability: Infectious
EVs: 252 HP/64 Atk/188 Sp.Def
Careful nature (+Sp.Def,-Sp.Atk)
- Curse
- Pain Split
- Poison Jab
- Rock Bullet
Curse Sweeper? Experimental Curse set that is not working well. Rock Bullet is there to defeat annoying Mimi-Chans and in theory it should become dangerous after multiple Curses (with high priority the Speed reduction becomes irrelevant), but I have never been able to pull it off: she doesn't last enough even after 2 Curses.
With 188 Sp.Def she reaches a decent 300 Sp.Def but I'm thinking in scrapping this moveset entirely and go for an Spike build, or perhaps go for Speed Yamame instead.

Speed Kogasa (F) @ Petaya Berry (Sp.Atk)
Ability: Intimidate
EVs: 6 HP/252 Sp.Atk/252 Spd
Timid nature (+Spd,-Atk)
- Shadow Ball
- Substitute
- Surf
- Twister
Utility. Took this set from Ichor's moveset thread and it am satisfied with it.

Murasa (M) @ Liechi Berry (Atk)
Ability: Torrent
EVs: 252 HP/252 Def/6 Spd
Adamant nature (+Atk,-Sp.Atk)
- Aqua Jet
- Ice Punch
- Psycho Cut
- Substitute
Physical Sweeper. To be honest I have not battled with this build yet so I don't know if it any good. Used to have a Murasa with Aqua Jet/ Steel Fist/Sub/Haze for utility and EV investment on Sp.Def for using her as an Special Wall but she was not working well. So I went for this build focuses on Maximizing Atk and hit with Aqua Jet. Ice Punch and Psycho Cut are for hitting Natures and Faiths who resist Aqua Jet.

Yukari (F) @ Leftovers
Ability: Magic Barrier
EVs: 252 HP/132 Def/120 Sp.Atk
Bold nature (+Def, -Atk)
- Mana Burst
- Mana Charge
- Rest
- Snore
Calm Mind + Rest. My pride and joy and she is often my lifesaver. With 132 Def EV she reaches a respectable 350 Def, and lets me invest the rest on Sp.Atk to compensate her low Base 75 Sp.Atk. I know Snore looks like a gimmick but attacking while sleeping is really good, and Dream happens to be effective against types that resist Reason (except Ghost, but inflicts neutral damage against it).
As you can see, the team doesn't have any specific strategy or goal: it's more of an anything-goes team with barely any synergy. Then, 3 Puppets being weak to Ghost and Reason, and only 1 Puppet resisting Ghost doesn't help.
I must admit that while I have the basic idea for building movesets, I'm not good when it comes to teams, so I am asking for your advice.
But, if possible, I would like to keep these Puppets, or at most change them to other Forms that support better the team.