About Deus Ex Serie

Story Wise:

1.) DXHR, first half (its till the part that you disappear for some 3 days or so )

2.) Missing Link

3.) DXHR, second half

4.) Deus Ex 1

5.) Invisible War

There will probably be references and stuff you won't catch, but it is a prequel, so you won't miss any major plot points.

It's actually a prequel to the other games, but aside from a few references, you won't be missing much. I think you can get some spoilers if you want to play the other games afterwards though.

Not really. You can play this without knowing anything about the lore beforehand.

in fact, Deus Ex HR is chronologically set before its predecesors

Have yet to play Human Revolution, bu when I start a new series with a later game being a prequel of the 1st one (like in this case), I usually prefer to start from the 1st game and go on.
Usually prequels are made both for new players and for returning ones so not too much of a problem, but it is often much better to start from an old game with old mechanics and go towards newer ones than the other way around.