Making them aware won't be enough to persuade them on using this technology. Their accessibility, capability and preference would be the bottomline.
Awareness is the start of the process. It is best that @OP presented Bitcoin in a convincing manner since first impressions last. If @OP touches the interest of his listener and the listener become curious, then they themselves will give way to accessibility, capability, and preference. People are adaptive, those who failed to adapt died long years ago.
Many people are aware of the potential of this industry as well as its advantages over fiat but why are those people still using fiat?Because it is more convenient on a daily basis; not everyone owns a crypto and even if they do, they'd have guilt on using it on a daily basis because of the potential profit it has, from holding and waiting for the market price to go up.
We all know the answer to this. Transitioning doesn't happen in one day or a year, it takes a long time. Even government-issued currency doesn't stop in operation abruptly when the government released a new design of the note. Besides, there are few merchants that accept Bitcoin and we are lucky if we find one in our local market. This is the reason why people are still using fiat. And honestly I do not think that people will stop using fiat currency anyway.
We are simply not ready for it yet as long as the market is showing high level of volatility which could generate profit, people won't be using it as a normal currency for normal transactions.
Bitcoin network is ready for it and these small steps will gradually become a big step where Bitcoin can harmoniously co-exist with fiat currency.