Number one rule I learned: don't worry about specific topics you have to memorize and bring up. Start with one or two easy ones, and then work out from there based on the keywords they give you.
For example:
You: "So, what did you do this weekend?"
Them: "Oh, not much. Just walked the dog down to the park and back."
(So, here, you can ask them about the dog, or the park, or both)
You: "I love dogs. What kind of dog do you have?" and/or, "Is the park far from your place?" (or something like those.)
Them: "I have a dachshund. The park is a about 6 blocks from us. We don't go often but it's pretty."
(Just keep on the keywords they are dropping... more about the dog? more about the park? Who's 'we'? Why is the park pretty)
You: "I bet your dog is so cute! My grandmother had a dachshund when I was in grade school. It's name was Biscuit. Is there a dog park at the park you go to?"
(since you dropped some keywords about your grandma's dog, they may feed those back to you, as well, now)
Them: What a cute name for a dog! Yes, there's a dog park there, but our dog Joe mostly likes going to the lake there. I like that too. Lots of ducks."
(and so on and so on as long as you need to.)
Once I practiced listening for keywords and feeding them back as questions, I've not had problems with small talk. And I don't have anxiety about it any more, either.
As for starter questions, practice never asking a question that can be answered with a yes or no. Because that's all you'll likely get. Then dead air.
I usually start with "What did you do this weekend?" because (for some odd reason) everyone is expected to have an answer to that so they are quite likely to give you one you can get keywords from. If that won't work, what do you obviously have in common right this minute? Like, you're at a wedding, so "How do you know the bride/groom?", or, you're both in school together, so "What classes are you taking this semester?" And so on.
This took me some time to master - I had to be willing to keep practicing and examining when what I was doing was working and not and then make adjustments. Sometimes I asked trusted-others for feedback.
But it was all totally worth it, because people compliment me on my small talk now. And it's amazing how it deflects negative attention from you at times, as well.
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Professionally diagnosed: Autism Spectrum Disorder.
"Autism isn't an illness but it's a condition that messes with our ability to have our psychological needs met." - DuckHairback on this site.