1. Earn Gold in game
2. On site go to equipment tab
3. On the left select the catagory of item you wanna look at (the first symbol is your personal inventory and the last is the market where you can buy items from other players)
4. Choose what you want and click the price button once to purchase it
5. Item will now be in your inventory (the first symbol on the left) you can either equip the item in game or on the character picture at the top of the screen.
Bear in mind that all armor/weapons have a difficulty score and cannot be equipped until you meet their requirements.
For normal weapons and armor the difficulty is the strength you need your character to have to use it.
For bows it is the power draw skill, throwing weapons is power throw, shields require shield skill and horses need riding.