Here's what I do:

If he/she hasn't heard about Bitcoin or its recent price spike, I send them the 1-year daily price candlestick chart. I often get back the question "how do I buy bitcoins?"

Then I suggest setting up an account at an exchange and offer to send him/her 1 BTC to play with. For many people this is incentive enough to get into Bitcoin.

(Yes, for free, why not? If you're an early adopter, think of 1 BTC being worth what you bought it for, say $20, rather than its current price. You can of course offer 0.5 or any other number that you think will incentivise your friend/relative.)

You can probably classify most of your friends/relatives as "non-tech-savvy", but you can further divide that category into "some computer understanding" and "clueless", because obviously there's a lower limit of knowledge required to use Bitcoin. The person must be able to operate a computer to some extent. So how to know if your friend/relative is tech-savvy enough? One way I use is to ask them if they know the website address for Facebook. If a person doesn't know that "facebook.com" is the website address for Facebook, I just move on to the next person. Thanks to the dumbing-down efforts of Microsoft et al, it seems like over 50% of Facebook users just type "facebook" into the browser address bar or search bar, not understanding or even knowing about the concept of a website address/URL.