Relevant quote from Mitch Hedberg (comedian):

"I used to do drugs. I still do, but I used to, too."

Or in a context. "Yes, i had a mother and a father, but they didnt care much about me", for instance

'Did have' should also be correct for 'tive', though it has more emphasis than the direct translation 'had'. If it were a negative sentence, 'não tive' would be translated as 'did not have'.