Prashant, 

IIIT Bhubaneswar has a tag of being an International institute, whereas IIITDM is Indian. International institutes are famous for their coding culture, something which is missing in IIITDM. Most of these international institute like IIIT Hyderabad, IIIT Bangalore, IIIT Bhubaneswar have established a name for themselves. They have performed well in coding competitions like ACM ICPC.

And placement statistics of both the colleges is almost same like highest package 10-12 lacs average being 5 lacs. 

There is no CSE in IIITDM KANCHEEPURAM eather there is COMPUTER ENGINEERING which focus more on hardware portion it has a flavor of electrical engineering in it. They will only teach you languages like C AND C++ ONLY. 

But IIIT BHUBANESHWAR they will teach you all major languages like Java, C, C++,Python etc. 

So I think in term of education IIITBHUBANESHAWAR is better. 

The rest depends on you. 

Hope it helps