This was one of the hardest parts of my transition to socialism, finding good information that didn't require a doctorates degree in history and/or philosophy. The S4A podcast has been running for years and is just now getting to the end of their "introduction to Marxism" series.... Like, you can't expect most people to do this...
After buying a number of books I am making my way through them and they are fascinating. But it did require me to self-investigate and open my mind a lot, and read a lot, to decide to study further.
The nuance is so strong and so many people have been taught bad information that it's hard to even begin a good conversation, so we resort to jokes because at least we can get a laugh out of it. I've dumped walls of text, and gotten some good results, some bad results.
I've been on the lookout for short/easy introductions that aren't in-your-face-about-it (Worked for me, but not for everyone). There's no reason to pander unnecessarily, but to provide reasoned arguments in short-form, to plant the seed of information that could bring someone out of their propaganda. I guess the biggest problem is just getting past the initial ichy feeling most people have when the word "communism" is thrown out.
I think for me it started with just anti-capitalism, and US military actions that were obviously against our "core values". But that's not enough for everyone.