This is just a personal stylistic preference, but I think it would make sense if this was the standard way to style chess moves on the site.
- Make chess moves bold -- this makes the moves stick out from the surrounding text, and follows the styling in chess books and some chess databases (that include annotations). In a sea of text, 6...d5 sticks out better than 6...d5.
- Use figurine algebraic notation -- Instead of having moves like Nf3, replace with ♘f3. This is because in many non-English speaking countries, they refer to the pieces with different letters and this makes it more global. Also, it probably helps out beginners -- I've seen one example where someone thought the letter for the knight should be K instead of N.