Hi there,
Can someone give me a quick run down on how to you use soul gems and runes? Also, if you could explain the enchantment table that would be great Thanks!

Enchanting is really easy.
You disenchant items to learn the effect and then you can apply it using an enchanting table and filled soul gem.

You fill soul gems with a soul trap spell or weapon. If the enemy dies while under the effects of the spell, its soul will be trapped.
Souls go into the lowest empty container, so be careful with your grand soul gems, you dont want to fill them with a petty soul.

Only black soul gems can hold the souls of any of the playable races and these are always grand souls.

To use a filled soul gem to recharge an enchanted weapon you select the weapon in the inventory menu, not the favorites list.
Depending on which platform you play on you then push a button and a menu will pop up asking you to select which of your filled gems you want to use. On xbox this is the right bumper.

Runes are cast on surfaces and then when an enemy runs over it, it will explode like a mine with its element: fire, ice or shock. Soul gems can be filled with souls using the soul trap spell or a weapon with soul trap on it. Soul gems are used for recharging enchanted weapons and for enchanting itself.

An enchanting table is used to place enchantments on your weapons. You can learn new enchantments by disenchanting already enchanted items (wow a mouthfull there). Example: To learn frost damage enchantment, disenchant a weapon with that effect on it. Your strength of enchantment depends on your enchanting skill and what perks you have invested into the skill. In order to enchant you need a clean weapon (no enchantments) a soul gem and a learned effect, like the frost example above.

At early levels if you need a soul gem with a soul they are found in loot as well can be bought at vendors.

I wish it would name the soul gem when you captured one like in Morrowind - nice for collectors to have the soul of an enemy or boss displayed on the mantle