How best to welcome new users?
By not tolerating or engaging in biased removals of a new user's comments, especially when the incendiary ones posted at him by some "veteran" in the site are left intact. It is disappointing that the moderators in Philosophy SE consent to these biased, selective removals.
I recently posted few comments to this question and then an answer. User jobermark got very hostile, pretending I said something terrible in the comments. I replied trying to set the record straight because no user (regardless of his high SE "reputation") should heckle other contributors, let alone by mischaraterizing them. One moderator eventually moved the comments to chat.
Hours later, I started noticing that many of my comments (and only my comments, not jobermark's) were removed from the post. Luckily the chat still displays what I wrote, which helps showing that the scandalous remarks by that user are unwarranted. I have a screenshot of the chat (available upon request) in case someone else removes my comments also from the chat.
Once the moderator created the chat, the aforementioned user resumed his harangue now by posting multiple comments at my answer. There, I explained to him why I was going to ignore his subsequent comments. Within few minutes he posted two additional comments (one of them including the direction "GO AWAY", in uppercase). Apparently, even he realized that he was crossing the line and removed these two.
Since then, somebody has removed also my comment [to jobermark] that I posted on my answer (screenshot available), which gives the inaccurate impression that I am "persuaded" by that user's latest rant.
I understand that every site has trolls, but the bias and/or selective leniency that the Philosophy SE moderators convey on distasteful incidents like this contradicts the purported concern of making new users feel welcome. I participate in other SE sites, and I can attest to their respective moderators' higher sense of fairness.