What Jooly said. Generally I would advocate a 'good' pedigree dog - i.e one for which you have a record of good/outstanding health tests and working titles for the entire five-gen (or more) pedigree. However, at risk of being flamed, this is not something you are going to achieve with a pug - their very nature means that they are, well, 'deformed' and are always going to be at risk of health issues. A responsible breeder will be trying their best to eliminate health issues with careful selection of breeding stock but, let's face it, there's only so much you can do for a dog bred purely for its looks when that look includes extreme brachycephaly.
Again as Jooly has pointed out, a cross between two pedigree dogs doesn't eliminate health issues - the offspring may inherit the conditions of both parent breeds.
If you are wanting a dog with the least chance of health defects, choose a breed with no extremes of characteristics and choose a breeder based on their ability to provide you with EVIDENCE of health tests (will vary by breed but hip and elbow scores are almost always relevant, plus any known breed specific issues) plus, if relevant, proof of working ability.
Or, y'know, get a rescue. In fact, please do, don't give the backyard pugadoodle breeder a penny of your hard earned money.