I wanted to try out more of Weis and Hickman's works(I liked the Deathgate Cycle very much), and I decided to do it with Dragonlance. Since there are a lot of books in the series, can somebody clarify whether I should be reading in the chronological order or not?
I would start with the Chronicles and move on to the Legends series. The first set of Tales, which are collections of short stories, has some great side stories for the main characters and their children.
In my opinion the rest of the series doesn't match the quality of the first 6 books. So after you finish reading the first 6 and the first tales, one should probably read the rest of them in release date order. Because a bunch of wars, world-changing epochs, and characters appear after the first 6 that are only tangentially related to the plots of the first 6.
I've read dozens of the Dragonlance novels by authors other than Margaret Weis and Tracy Hickman and most of them are really not that great. The Preludes I and II, are not written by Weis and Hickman, and you should only read them if you really love the characters. In later novels, Weis and Hickman almost explicitly ret-con out the events of the Preludes novels, though a few plot-lines survive into Dragons of Summer Flame. This kind of creates a canon versus non-canon perspective of Preludes and other non-Weis and Hickman novels and stories.
I once did some research on this and compiled two reading order lists. The best resource I found (based partially on my own reading of about half the entire series myself) was the recommended reading list on DLNexus and their complete product list which gives the chronological order.
Both would have you reading Chronicles and Legends first (including Dragons of the Dwarven Depths in second place [Lost Chronicles Vol 1, fills gap]), and then diverge after that. The recommended reading order goes on to The Second Generation rather than continuing in chronological order. After that would be The Fifth Age series' (Dragons of a New Age, and The Dhamon Saga), then the Age of Mortals (War of Souls, and Dark Disciple). By the time you get there you should have a pretty good idea of what direction you want to go if you want to break from the recommended reading order. I recommend not missing the Classic Supplemental novels. :)
Mark Roger's answer of Chronicles, Legends, and Tales is a good answer.
Once you fall in love with these characters you are going to be tempted to read the Preludes books, which talk about the five years in which the companions were separated. These are terrible books which suffer greatly from continuity flaws and boring stories. This is also true of Meetings.
The more interesting Dragonlance books NOT written by Margaret Weis and Tracy Hickman are ones that deal with things far and away from the beloved main characters. Deep in the past or completely removed from the events in the first books.