Why not simply say, "my name is john, I live in
a house." Why do you want to use "and" when you
don't need to? I have used "and" to start a
sentence, mostly for effect.
is a grammatical error. You cannot simply put a comma and then write another sentence.
The answer to your question is yes. You can start a sentence with and. It is used for dramatic effect. Therefore, you should not use it too often. Also, it should be followed by a comma.
Grammatically, it is considered fine these days. However, you should reserve it (according to most style guides) for a dramatic effect, becaues many people still judge it to be an error.