There is really new moves to add?

Not all moves come from TMs. Some are learned naturally through levelling up, or via move tutors.

Just thinking about Blaziken alone, off the top of my head, there's Blaze Kick and Sky Uppercut.

Instead of new moves make updates to current moves.
Fire Blast: 140 PWR Target stunned for 2 seconds
Psychic: 100 PWR Target losses 80% of charge attack bar
Heat Wave: 95 PWR Target burns additional 10 PWR per second for 5 seconds.
Sludge Wave: 110 PWR Targets attacks slows 50% for 4 seconds
Ominous Wind: 50 PWR Target is unable to dodge for 3 Seconds. (If 1v1 ever gets implemented)
Disarming Voice: 70 PWR creates bubble to protect form any impairing effects for 4 seconds
Bug Buzz: 90 PWR Pokemon restores 5hp when used (bug hp sucks anyways so won't be big difference)
Rock Tomb: 70 PWR Reduces incoming dmg by 80% for 2 seconds

Just some ideas that Niantic could implement easily everyone seems to be bored with the current mechanics that they are to simple. This wouldn't have to create a new type of move but will be implemented into the charge move. Everyone compares Pogo to the games but its not the games it can be something new and something very good.

I was actially thinking the same thing, I don't see the point in adding new moves unless they are carriying some effect. The only moves that are missing are quick fairy-type move and 1-bar dark type move