This achievement is very easy to get early in the gameplay.
**You will need 1000 gold to change your features.**
Speak with Galathil, she is located sitting on the dock area in the Ragged Flagoon. To get to the Ragged Flagoon, you need to go to Riften and enter the Ratway.
There are enemies in the Ratway, so make sure you bring some food and/or health pots.
Slippy Sadist added an awesome tip; You can save your game befofe talking to Galathil so that once the achievement pops, you can reload your last save and keep your gold.