BITS-pilani is THE BEST. period. i dunno much about BITS-goa but its not bad at all...though obviously not in league with pilani..NIT-trichy is really good...

in fact, given a choice...i would go for NIT trichy rather than BITS-goa coz goa's still new while trichy's got a reputation and is without a doubt excellent....it would be better if you could talk with a student of BITS-goa..he/she could give you accurate guidance.....

and yeah...dont listen to relatives much unless they happen to be  connected to the instis....