Compression shorts and jeans. The bulk isn't such a big deal unless you're wearing Abenas or something. Regular diapers aren't big enough to make it obvious. There's hardly any noise when you're in public. You'll be the only one who notices.
You might want to not wear a skirt, just go with some slightly loose fitting pants. And find something thin, but don't worry about smell at this point. In public you don't want to risk wetting in anything that you're not completely secure with.