I believe that either is correct and that they are interchangeable. It is more common, in my opinion for adults to say - I have.... Children are more likely to say - I have got .... Therefore, I think the more sophisticated expression is - I have ...

Hi Nina, got is used more often with negatives like I haven't got a sister(I dont have a sister) and questions like have you got a sister(do you have a sister). Have is used to talk about consuming something like I have a cup of tea everyday(you cant say I have got a cup of tea everyday). Hope it answered your question. :)

If you recently acquired a dog, you would say: "I got a dog." If you've had one for a while you would say: "I have a dog." "I have got a dog" sounds redundant.

The meaning is the same. Have is more common in British English.

have = possess have got = obtain