I think it goes something like this:
- Enchant gear with Fortify Alchemy. (Head, Hand, Ring, Neclace)
- Equip Fortify Alchemy gear.
- Create Fortify Enchanting potions.
- Drink Fortify Enchanting potions.
- Repeat steps 1-4 untill the gear and potions stop getting better.
- Drink Fortify Enchanting potions one last time, Enchant new set of gear with Fortify Smithing. (Chest, Hand, Ring, Neclace)
- Create Fortify Smithing potions.
- Equip Fortify Smithing gear and drink Fortify Smithing potions before upgrading weapons and armor.
It may be possible, and likely better, to start with drinking a store-bought Fortify Enchanting potion first, seems like they are stronger. Also, I think Fortify Enchanting effects are messed up right now, and either provide a tiny bonus or a negative bonus.