"The Art Of Attack In Chess" is way beyond your ability right now.
Art Of Attack and Modern Chess Openings.....Advice requested.

Consider some of the books in the following list. Until you reach the 1500 level, tend to avoid for now those that are described as "advanced" or for the more experienced player...
Good Chess Books for Beginners and Beyond....
https://www.chess.com/forum/view/chess-equipment/good-chess-books-for-beginners-and-beyond
At your level you should be focusing on basic fundamentals and principles. In that regard "Modern Chess Openings" is not a book you should be devoting much time to. It may prove useful as a reference, but you will not learn chess fundamentals from it.
A better book on the subject of openings which is focused on principles is "Discovering Chess Openings" by John Emms - study of this book will be much more beneficial for you at this stage of your development.
I also concur that "The Art of Attack In Chess" by Vukovic is probably too advanced for you to derive much benefit from at this time.
On the subject of attack, more appropriate for you would probably be any of the following (preferably all of them, and preferably in the order shown, as their instruction tends to "build" one on the other - i.e., it might be better to study these in sequence)...
1) Attacking the King by J.N. (John) Walker. A primer on how to attack, and checkmate, your opponent's king.
2) The Winning Way by Bruce Pandolfini
3) Simple Attacking Plans by Fred Wilson.
Targeted to the beginner-novice player, each of these offer instructive examples and guidelines for how to plan and play for an attack on your opponent's king.
Finally, I consider "The Complete Idiot's Guide to Chess" by Patrick Wolff to be an outstanding book which focuses on chess fundamentals, and which should be very helpful for players at your level. There is a lot of good chess instruction in that book.
On the question of whether it is best to read books sequentially (one at a time) or multiple books simultaneously. That is like asking whether you should finish eating all your vegetables before eating the meat on your dinner plate. As long as the books in question are not too "advanced" for your current skill level, in the end it really makes no difference. More important are your interests and needs, the effort you put into learning the material, and how appropriately the instruction in the books is matched to your current knowledge and skill and level; that is, how effectively and efficiently you are able to absorb the material. Beyond that, whether the instruction comes from one source or several at a time is a matter of personal preference (and perhaps finances!)
Good luck to you!
Possibly of interest:
Simple Attacking Plans by Fred Wilson (2012)
https://web.archive.org/web/20140708090402/http://www.chesscafe.com/text/review874.pdf
https://www.newinchess.com/Shop/Images/Pdfs/7192.pdf
Logical Chess: Move by Move by Irving Chernev (1957)
https://web.archive.org/web/20140708104437/http://www.chesscafe.com/text/logichess.pdf
The Most Instructive Games of Chess Ever Played by Irving Chernev (1965)
https://chessbookreviews.wordpress.com/tag/most-instructive-games-of-chess-ever-played/
Winning Chess by Irving Chernev and Fred Reinfeld (1949)
https://web.archive.org/web/20140708093415/http://www.chesscafe.com/text/review919.pdf
Discovering Chess Openings by GM John Emms (2006)
https://web.archive.org/web/20140627114655/http://www.chesscafe.com/text/hansen91.pdf
Openings for Amateurs by Pete Tamburro (2014)
http://kenilworthian.blogspot.com/2014/05/review-of-pete-tamburros-openings-for.html
Chess Endgames for Kids by Karsten Müller (2015)
https://chessbookreviews.wordpress.com/tag/chess-endgames-for-kids/
http://www.gambitbooks.com/pdfs/Chess_Endgames_for_Kids.pdf
A Guide to Chess Improvement by Dan Heisman (2010)
https://web.archive.org/web/20140708105628/http://www.chesscafe.com/text/review781.pdf

I would supplement some of the above with some well annotated collections of best games (e.g. those of Fischer, Alekhine, Tal, Petrosian, Capablanca, or indeed compilations). Playing through the games of the great and the good, and looking at the analysis of their games seriously is always useful. Sometimes having two chessboards on the table is helpful; one for the moves of the game itself so you don't get lost, and the other for exploring options that the players didn't use that are considered by the annotators. Also more fun than playing through dry opening variations.
I've played(badly) for many years with a very long break between play,but find myself "now" totally loving Chess,especially with this great site.I've found that my development,where i live has a chess club and will join it at some point.....Anyway,I'm finishing off "The Idiot's Guide To Chess" (totally appropriate for me-
) and have ordered both "Modern Chess Openings" and "The Art Of Attack In Chess".......My question is....would it be best to read "one" first and then move to the next,or both at the same time? Much thanks in advance.