I increased the price and value offered for all of my current tiers (early access from 7 to 3 days for content with the lowest tier going from $1 to $3).
My content and patreon page is focused on making in-game gold in World of Warcraft, so a very small niche, but my readers can pay for their subscription with gold if they do well, so I mostly have patrons that support me specifically to get access to my strategies. The special offer was a video describing my current approach to the game, and since the game changes the video will be out of date in a while so it’s perfect as a one-off reward and zero cost to distribute.
Mostly I just took the advise from the 4 weeks to your future patreon and used it.
I didn’t do too much promotion outside of scheduling daily twitter posts and adding it to the content on my web page. I think I actually underpromoted it if anything.