Hello both the college are equally good . But in terms of academics and campus life Barton hill government college is better choice than TKM kollam.

Whereas in terms of placement TKM kollam have better placement statistics than Barton hill government college. The average package of TKM Kollam is 4.5lpa whereas for Barton hill it is 4lpa.
https://www.careers360.com/colleges/tkm-college-of-engineering-kollam

For further queries feel free to comment.