It's hard to really tell you anything when you're not getting ready for the Pokemon League or something, but I'll try to help any way I can.
Poliwhirl : Level 30
Surf
Strength
Bubblebeam
Body Slam
Why do you have two water types? Anyway, Surf is fine I guess. It's better to have on Poli than Gyara imo. But what are you evolving it into? That's the question. I like Politoed just cause it's cute, but you might consider Poliwhirl because it's a fighting type. Can't help you much with this one til it's evolved.
Togepi : Level 14
Sweet Kiss
Charm
Extrasensory
Metronome
It's already underleveled. If you're not gonna bother with the little guy anymore, just ditch it. If I were you, I'd keep it and trade a Shiny Stone before the League and get a moveset like Air Slash/Aura Sphere/Roost/Nasty Plot. I think Nasty Plot has to be bred for though, so maybe Thunder Wave or Fly. It's only in-game, so not too much strategy is needed. If you can't get Togekiss right now and keep it a Togetic, Fly/Extrasensory/Ancient Power/Wish. I can't remember if Wish is learned via level up though. :<
Quilava : Level 30
Cut
Fire Blast
Flame Wheel
Ember
Sweet Jesus. Take a load off the poor little guy. Say good bye to Ember at least. Delete Cut when you get to Blackthorn...that's just ridiculous. Say hello to Earthquake when you pick it up in Victory Road. I can understand having Flame Wheel and Fire Blast, but Ember? No. Personally, I would ditch Fire Blast. It's powerful, but inaccurate and not the best for wild encounters because of the low PP. Try something like Flamethrower and that way you won't have to worry about keeping Flame Wheel and you can have more in your set. Rollout+Defense Curl combo isn't too terrible of an idea either. Another alternative to Cut could be Swift. Always hits, ya know. And Typhlosion has a good sp. att.
Red GYARADOS
Bite
Dragon Rage
Twister
Hyper Beam
o lol. This isn't generation I. Hyper Beam on Gyarados is about as useful as Ice Beam on Rhydon, maybe a little more just cause Rhydon's sp. att. is that bad. But still. For Gyarados, you definitely wanna end up with Waterfall/Dragon Dance/Bite (or Earthquake for Electric types)/Ice Fang.
Hope I helped a little bit.