Regardless of whether you are using JOIN or LEFT JOIN, use ON to specify how the tables are related and use WHERE to filter.
In the case of JOIN, the it does not matter where you put the filtering; it is for readability that you should follow the above rule.
In the case of LEFT JOIN, the results are likely to be different.
If you do
EXPLAIN EXTENDED SELECT ...
SHOW WARNINGS;
you can see what the SQL parser decided to do. In general, it moves ON clauses are to WHERE, indicating that it does not matter (to the semantics) which place they are. But, for LEFT JOIN, some things must remain in the ON.
Note another thing:
FROM a ...
LEFT JOIN b ...
WHERE b.foo = 123
effectively throws out the LEFT. The difference between LEFT and non-LEFT is whether you get rows of b filled with NULLs. But WHERE b.foo = 123 says you definitely do not want such rows. So, for clarity for the reader, do not say LEFT.
So, I agree with your original formulation. But I also like short aliases for all tables. Be sure to qualify all columns -- the reader may not know which table a column is in.
Your title says "multiple" joins. I discussed a single JOIN; the lecture applies to any number of JOINs.