for me the best way is to introduce it to someone is to share your personal experience(the good, the bad) about bitcoin or cryptocurrency and ask if they are interested or at least curious and if they are not I would stop the topic immediately. but if they are interested I usually do what you mentioned show value,how it started you, wallet, how it works, etc.. in short the basic stuff about bitcoin or cryptocurrency. I don't give them the idea of grand scheme about bitcoin. I just introduce it as a way of new transaction, option for investment, etc..
Oh I try to be sensitive too! I don't want to look like a weird nerdy guy continuously speaking about something to someone who is not really interested about the topic. I even only talk about bitcoin if there's a need to explain something that really connect to our topic.
The most common question I receive from friends is how do I earn here, of course all of us are interested in earning that's why they are asking about it first. So I try to share my personal story as well, the reason I'm here, the reason I'm staying. And all of that, by sharing your personal reason they can really understand that its something, especially if they are your close friends that really know you. They'll understand cause its personal. I try to explain to them without the intention of getting them in, but with the intention of giving them the idea that its a currency, and not a mere place to earn.