I've done it by simply smithing like mad. I'd make jewelry as often as possible, which has multiple benefits:
1. Smithing gains experience for levelling
2. You can enchant the jewelry, gaining levelling experience and increasing enchanting experience
3. You can transmute iron to silver to gold, gaining alteration experience
4. You make a TON of money selling the enchanted jewelry
5. Your selling activities increase speech experience
If you run out of iron, just use your dwarven metal, orichalcum, moonstone or whatever you have to either smith armor & weapons (which increases smithing experience) and sell them (to increase Speech experience), or use your other metals to enhance armor and weapons that you find in game (more smithing experience.)
One of the joys of the game for me is exploring for ore, using transmute, smithing weapons, armor and jewelry, enchanting it and selling it. Truly, it's funner than going into a crypt and killing draugr.
(Yes, I really am that wierd, I openly admit to it.............)
