Saffron City
Many houses in Saffron are guarded by Rocket members, as well as the local gym and they'll only move after you have cleared Silph Co. of it's Rocket infestation.
Your 1st two stops should be the lower right house in the city and the fighting-type Pokémon gym. The house has the Psychic TM, an extremely powerful psychic attack.
The fighting-type Pokémon gym will give your Pokémon exp. and 1 of 2 new Pokémon, Hitmonlee or Hitmonchan.
Next you should heal and head to Silph Co. for a long and confusing battle
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