This is the order in which I would do MMT. Start with the NYT bestseller The Deficit Myth by Stephanie Kelton. One of the best popular economics books ever written. If you want more.....
read another terrific book just published. The Case for a Job Guarantee, by Pavlina Tcherneva. The Job Guarantee proposal deserves a book all to itself. Then for more detail on the workings of the monetary system,
read Modern Money Theory - the primer by L. Randall Wray. Then, if you want a macroeconomics text book from an MMT perspective, read Macroeconomics, by Mitchell, Wray and Watts. Then,.....
if you want another accessible introduction to MMT, which is free on the net (if a little out of date now in some respects, as it is a decade old) read Warren Mosler's 7 Deadly Innocent Frauds. If you want MMT from a money and banking perspective, read another free book...
Eric Tymoigne's The Financial System and The Economy.
Once you have read all those, come back to me, and I'll suggest some academic papers, and more general books from an MMT perspective, including Mitchell and Fazi's Reclaiming the State. That should keep you busy. But it is important to start with The Deficit Myth. Bestbookofyear.
p.s. My Economics for Sustainable Prosperity is also available. lol. :)