Twilight vampires do not suddenly combust in the sun, they are not allergic to silver, garlic, uv, holy water, do not run away from a crucifix or a church.
However, if they go out in the sun their skin reflects the light. How Stephenie Meyer said: their skin is like siamonds. So if they would go out in the sun, they would sparkle and people would know they're not human.
They have pale white skin and are ice cold.
They have enhanced strength, speed, agility and senses.
Some of them have special powers.
If a male vampire has a children with a human female, the female will die when delivering the baby unless she is transformed into a vampire.
Vampires are highly attractive to humans.
Newborns are crazed with the thirst.
The color of a newborn's eyes is red for the first months, after these turning to amber then golden (if vegetarian). When a vampire is thirsty, the eye colors begins to darken to black.
Unless it's a power, your character's going to have red or brown eyes.