TLDR: Cite is as any other work not done by the authors.
One advice I was given (I think specifically aimed at double-blind reviews) was to anonymise the citation. The point is that one should focus on the science: this new paper X is an improvement, an extension, or builds upon, an older paper Y. The primary point of references (in my opinion) is for the reader to be able to track the science (not the authors). So, I would suggest the following:
This work builds upon a study surveying the most common citation practices in academic literature [1].
If you want to mention the author's names, that can also be done in this neutral style:
This work builds upon a study by Abdulhameed et al. [1] surveying the most common citation practices in academic literature.
Both of these styles lend themselves to a double-blind review: upon submission, if author names are anonymised (e.g. removed from title page), nothing in either of the above examples screams "We are the authors of [1]!" but still allows the reader or the reviewer to follow the science.
While I agree with you that drawing attention to the fact that the work you are building upon was in fact authored by the same researchers comes across as "broadcasting" (and I consider it bad taste personally), I have seen such a citation style as well, and not infrequently, e.g.:
This work builds upon our previous work (the previous work by the authors / the previous work from this research group / previous results from our project X) [1], which surveys the most common citation practices in academic literature.
I would not recommend using the last citation style, since, as mentioned, I consider it bad taste, but additionally also since I have in the past seen official style recommendations and guidelines arguing in favour of the first two approaches and discouraging the last approach (from conferences and journals with a double-blind review practice).