This is from the UESP
Get enchanting, alchemy, and smithing to 100. Smithing is the easiest to power-level, with enchanting close behind. Use your 5 training sessions on Alchemy, as it takes the longest. If you can, grab any necessary smithing perks for your armor/weapon choices. If you have the perks to spend, grab all levels of the pure power perks (the first one) for alchemy and enchanting, and the insightful enchanter perk.
Buy or make a bunch of cheap sets of clothes or armor of any kind for: Hands, Feet, Body, Necklace, Ring, and helm.
Stock up on grand soul gems and certain ingredients by any means necessary.
Ingredients for Fortify Enchanting (Choose any two of the four): Blue Butterfly Wing, Hagraven's Claw, Snowberries, and Spriggan Sap.
Ingredients for Fortify Smithing (Choose any two of the four): Blisterwort, Glowing Mushroom, Sabre Cat Tooth and Spriggan Sap.
Make sure you know the enchanting recipes you want on your final armor, as well as Fortify Alchemy and Fortify Smithing
At the enchanter enchant as many items you can with Fortify Alchemy, but make sure you are able to make one complete set of fortified alchemy apparel before completing. A set of alchemy apparel will have one item for head, neck, arm and hand. e.g. Circlet, necklace, bracers, and ring.
Then, wear the alchemy clothes, and verify using Active Effects that the enchanting effects are active. There seems to be a bug where sometimes the enchanted item's effects are not active upon wearing. To correct just remove and then reequip enchanted items.
Now make some Fortify Enchanting potions using combinations of: Blue Butterfly Wings, Hagraven's Claws, Snowberries, and the Spriggan sap. There are two respawning Enchanter's Philters in the Archmage's Quarters at the College of Winterhold, these increase the strength of enchantments by 20% for 60 seconds.
At the enchanter, take the strongest enchanting potion you made, and enchant a new set of items with Fortify Alchemy.
Works twice, however after two iterations the fortify enchanting doesn't increase the items strength, xbox tested
Make some final Fortify Enchanting potions, and some Fortify Smithing potions (using Blisterwort, Glowing Mushrooms, Sabre Cat Tooth, and Spriggan Sap) to get your enchanting back up to max, and enchant your used weapons and armor as you please.
Also, at the enchanter (and while your enchant potion is on) enchant a final set of cheap items with Fortify Smithing. Then, head to a smithy, with a grindstone and a workbench.
Finally, wear your smithing items and equip the Notched Pickaxe and take your smithing potion, and improve any weapons and armor you've got. You will, of course, need materials to do it, but most should be fairly easy to come by. You will probably reach the armor cap with any armor you're wearing, and increase your weapons to massive heights (more than 500), especially with any offensive skill enchants.