I've been on staff picks once on Tapas. (Also 'New From The Community', but I think that one's algorithmic.)
The main thing, aside from having good quality work, is to make yourself visible. I think BSR must have been noticed through my activity here on the forums, as I don't tend to tag Tapas on social media. The new Discord server will likely be another avenue to get staff eyes on your work, they seem quite active on it.
Once the people who make the staff picks are aware your work exists, it's simply a matter of crossing your fingers and hoping you make the selection list one week. The more they see you out and about in the community, the more likely it is they'll remember you, and what you create. 