I think you’re mixing up “complex” with “complicated.” the first answer has no complexity (detail) and the second has a lot, but neither is complicated. You could make either sound more or less complex.
To actually compare them, the first should be “a shaving razor owned by Occam” and the second should be “a philosophical razor created by Occam.” Now they have the same amount of detail, and the second is far simpler to understand why someone would know about it.



For the clothing thing, it should be enough to buy from a thrift store. Just pay with cash to be safe. Although if you’re planning to do something that’ll make you of particular interest this may not be enough. Thrift stores do have cameras, and the police could theoretically look for a particular set of clothing being purchased. Its incredibly unlikely and would take a ridiculous amount of effort, but it is possible.