Children

Charlie: Bella Swan, 24 (looks 18 for eternity)
 

Carlisle: Adopted vampires Edward, Jasper, Alice, Emmett and Rosalie
 

Billy: Jacob (21), twins Rebecca and Rachel (25)
 

(It's a manip, as you probably already know! :)

Edward: Renesmee Cullen, 5 (in human-vampire hybrid years)

Relationship Status              Career

Charlie: Divorced                   Charlie: Police Chief
Carlisle: Married 90 years      Carlisle: Physician
Billy: Widower                         Billy: Quileute Council Leader and Disability
Edward: Newlywed                 Edward: Student for over 90 years. 

Net Worth

Charlie: Earns between $35,605 to $49,640 a year
Carlisle: $3.14 Billion Dollars
Billy: Median income of Native American households is $35,343. That's a fair guess since he's essentially unemployed.
Edward: Billions in family money

Charlie: Hands-off. Only sees daughter on holidays until she's 17. Shows as much emotion as a vampire, so it makes sense that his daughter falls for one.
Carlisle: Permissive and lenient. Allows his adopted offspring to do anything short of murder and pays their bills well into adulthood.
Billy: Authoritative. Doesn't give Jacob many choices, only allowing him to be a wolf when he grows up.
Edward: Reads daughter's mind. She will never be able to get away with anything.

Quality Time

Charlie: Spends most of his time working and fishing, unless Bella makes dinner for him.
Carlisle: Despite being a busy doctor, finds time to play baseball, throw parties and fight evil vampires with his family.
Billy: Unemployed, he has all the time in the world to hang with Jacob.
Edward: Still a new parent, he makes time to take his daughter hunting, music is a common interest between the two, but only when he's not occupied with saving her life from Volturi.

Family Planning

Carlisle: Randomly adopts children like he's Angelina Jolie in a third-world country.
Billy: Seemed to plan well, until his wife suddenly passed away.
Edward: Considered abortion and doesn't practice safe sex. To be fair, vampires have no bodily fluids, so how could he know?

Fatherly Advice

Charlie: "The right thing isn’t always real obvious. Sometimes the right thing for one person is the wrong thing for someone else. So… good luck figuring that out."
Carlisle: "Don’t get your family slaughtered for pride."
Billy: "What I meant to say was, don’t do what you’re doing."
Edward: "You’re awfully small to be so hugely irritating."

Pole Probability

Carlisle: Medium. When you adopt grown children, it can be a grab bag of potential psych issues. Still, Carlisle is really rich, smart, loving and can beat up any pimp, drug dealer or strip club owner.
Billy: High. Not totally his fault since his wife died when his kids were young. Still, he's not close with his daughters and his son is constantly taking off his clothes in public for free.
Edward: Medium. When Jacob, a much older man, "imprints" on Renesmee, Eddie still allows his daughter to see him. Kind of creepy and sends the wrong message for healthy relationships. However, they're rich and she'll have a strong education, so she won't need the money for college.

So tell me, who is your favorite father from The Twilight Saga?

I love them all, and even though I haven't seen him in action as a Dad, I'm sticking with Edward :)

Exert From; Source