Some thoughts on the moves so far.
Wyrm Smash: I don't mind if Dragon Pokémon get a good physical STAB move (though, they still have access to Loaded Dice Scale Shot, fwiw), but I think we should still be careful to whom we give this move; after all, Dragon Pokémon tend to have high BST in general, especially Atk wise. The current metagame doesn't have many Fairy Pokémon. Those we have tend to be fairly niche options, and it helps you can resort to Steel as an alternative in the builder. As a result, Dragon Pokémon don't really suffer much in the current format. Steel can resist Dragon but usually, they don't threaten it much because of no super effectiveness. Dragon, on the other hand, commonly know Fire, Fighting or Ground moves to deal with Steel.
Balance wise, of the four Dragon Pokémon, Drampa doesn't use this move. So, only Flygon would greatly benefit from it while still being very balanced due to its tame stats. Kagunawa and Judigon may be another story. The former gets to click what is essentially a slightly stronger and more reliable Draco Meteor due to its ability while the latter already hits like a truck given its ability is essentially a conditional Huge Power. I think Judigon is really cool when it has to fall back on Breaking Swipe or Scale Shot to be disruptive and threatening, imo. I think that kind of depth can get lost with Wyrm Smash, and it's unclear whether the move would be balanced on it at all. Might be a different story if we end up with a Misty Terrain setter.
Frog Song: Perhaps, this could be changed into sth like Sonar Shower because I can't see a musical non frog Pokémon being able to perform a Frog Song.
Mother's Love: It's always cool to see some underused Pokémon like Kangaskhan getting some love to shine. Though, I should note nothing prevents the user from having their ally click Protect in order to get protected later from the user. It's also a good thing that redirection can be checked by stuff like spread moves in general. I'm therefore a little bit wary and am not sure what this move would do to improve the metagame or the gaming experience in a significant and meaningful way. The metagame already has good redirectors in Matokoda, Metagross-Prime or Conotox. More options is never a bad idea but if we are to teach Mother's Love to more Pokémon, it should be really limited to make the Mother's Love user feel distinct amongst themselves. Which kind of defeats the purpose of having a more widespread move.
Strong Arm: It's a good idea to have a move specifically for Vigor Terrain to make it more appealing. However, I think the move itself seems kind of redundant. Both Power-Up Punch and Strong Arm have low BP. So, the power difference between these moves is largely irrelevant. Furthermore, Power-Up Punch's boost isn't dependent on any factor, making it therefore a more reliable move. Therefore, Power-Up Punch is, for the most part, the superior option. Perhaps, you could modify your move or come up with a different effect.
Forceful Hug: If it wins, I'd recommend not giving it to the Cacnea line. Based on my initial impressions, Cacmora is a really threatening Pokémon and well balanced by its rather low to modest BP moves. Adding a powerful Fairy move would make it difficult for most Fighting Pokémon to check it. Ulmiraj would probably also have to be omitted since it's already a nuke machine with Huge Power and won't often find itself trapped if it can take out most targets with ease. You could, perhaps, teach it to Wresteddy which seems to have the perfect flavour.
Water Bomb: It makes sense to have a Water type Stealth Rock as a status move to make this hazard more available to Pokémon. Though, with how fast paced VGC tends to be, I'm not confident if this move would see some play at all. If not even Upvybones is enough to make it appealing, then I doubt another Pokémon would have some success. A status move such as this could be seen as a waste of turn during which you could do sth else to pressure the opponent; it also doesn't come with a lot of gain as not many teams will run a good mix of Fire, Ground, and Rock Pokémon on their team. And they could also just lead with one of the types and have an ally pressure you.
You would have more success with Toxic Spikes as far as hazards are concerned since damage accumulates and it punishes passive plays. I think you would need a very special Pokémon to make Water Bomb appealing, like Ting-Lu or Glimmora. So, there's likely not much hope Water Bomb would see somewhat consistent usage.
Anthroll, 
Conotox, 
Malitch, 
Grimer, 
Muk, 
Grimer-Alola, 
Muk-Alola
Skitty, 
Delcatty, 
Delphynan, 
Dustform, 
Dustnoir, 
Gastrodon, 
Makuhita, 
Hariyama, 
Intestinorm, 
Kangaskhan, 
Mauycacque, 
Mountalon, 
Phlocules, 
Sneasel-Hisui, 
Sneasler, 
Lillipup, 
Herdier, 
Stoutland, 
Tinkatink, 
Tinkatuff, 
Tinkaton
Accelgor