Now I just need to work out the chronology so I can watch them in the correct order
There are several orders The principal ones are the production order and the "air date" order, with the season 4 finale being shown at the end of season 5. You should just watch them in the order on the DVDs
Apart from that, have fun with the story. If season 1 bores you, it is "permissable" to skip to season 2. Thereafter, play them in order.
Be aware that JMS sets up story points in one season, in preparation for them to be important one or even two seasons later. There's none of this "reset the plotline at the end of the episode" that you find in other "deep space franchises"
After you watch an episode, have a look at the relevant http://www.midwinter.com/lurk/countries/us/eplist.html and see all the things you missed. Uniquely, the comments from JMS were made online immediately after each show's premier.
There are more than a few S1 episodes which are important to understanding some of the later episodes and story arc. Watching them with this in mind may help you get through them even though there is not much plot advancement. A few are critical to see, otherwise you will be surprised and confused by a few things in pretty much every following season. This is a rough recommendation of which ones should be watched:
The Gathering: intro to most of the characters.
Midnight on the Firing Line: more back story and a few helpful details about some of the alien races and Sinclair's story.
Soul Hunter: very useful to put a later made-for-TV movie into context, not essential to the plot.
Born to the Purple: much useful info on the Centauri, and there's a callback, in S5, to this episode which is important.
And the Sky Full of Stars: helps define Sinclair's story and the Earth-Minbari War.
Signs and Portents: introduces critical story arc details.
Legacies: a couple of small details that will become important later, not much story arc.
A Voice In the Wilderness, 1 and 2: essential.
Babylon Squared: essential.
The Quality of Mercy: contains essential info for several later episodes even though it does not advance the story.
Chrysalis: from here on, nearly every episode through S4 is important to the overall story.
I would add that the first part of S5 is pretty poorly laid out, but it ramps up after a few episodes and rounds out the 5 year story - plus the "conclusion".
Just remember that although you can probably gloss over a number of episodes without missing the overall story, many of them will provide context and make the story more complete. I, myself, watched every episode the first time, but tend to skip a few on re-watching because I know the essentials and don't care to see them again. If you choose to skip an episode, I recommend reading the "Lurker's Guide" entry for that episode; you may feel you need to watch it anyway!
You can probably skip the remaining S1 episodes without much damage, because they don't move the story along. However, every episode has some info in it which may help understanding the characters and universe, so keep that in mind. Pay close attention to anything involving the Psi Corps and the Minbari.
Enjoy!