You're _probably_ not going to qualify for ESTA (assuming D/D is either drunk driving or drunk & disorderly), and will need to get a full tourist visa, at least based on the US Embassy's Visa Wizard (http://london.usembassy.gov/root/visa-wizard/pages/). You could go ahead and apply for the ESTA, and see what happens. That said, make sure you're honest when you apply - the convictions you mention wouldn't necessarily make a visa a no-go, but getting caught lying on an application certainly would be.