OK, as I understand it, Vinyar Tengwar was originally started in September 1988 as a newsletter of the Elvish Linguistic Fellowship by a group of linguists in the USA, under the editorship of Jorge Quiñonez.
Later Carl Hostetter took over as Editor, and then later again, having seen the work which he and many other contributors were producing, (and presumably having checked their qualifications for the work) Christopher Tolkien granted them the right to edit all the various linguistically related documents, papers and bits and pieces which had been left by his father.
So gradually it changed from a newsletter with many contributors into an occasional magazine producing edited material of Professor Tolkien's. This means that the material can be considered a first and primary source for new understandings of the Elven languages.
I'm not sure at what point Parma Eldalamberon came into being, but it is a companion to Vinyar Tengwar and is created by Christopher Gilson. The most important recent edition is P E 17 Words, Phrases and Passages in The Lord of the Rings which has added a huge amount of new material to what we had, and necessitated the revision of his courses by Thorsten (make sure you have the most recent edition!), and the revision of Helge's wordlists and his Quenya course which I believe he is working on at present.
All the various people who are involved in this work - Carl Hostetter, Ivan Derzhanski, Christopher Gilson, Arden Smith and Patrick Wynne, plus Bill Welden - are in general referred to as The Editorial Team.
As they are all busy people with full time jobs, and the work is particularly difficult - 60-year-old pencil scribblings in some cases - a long time may elapse between editions. But they are amongst the most important resources we have.
The links to find out more are: