For integrated programme :

You don’t need to do much research about which coaching to join if you do what your school says.

Integrated coaching is a partnership with your school, you may be charged a combined fee for school + coaching. So, you can get the better package in comparison to joining a separate coaching institute.

For coaching separate:

Better and dedicated faculty than integrated coaching.

You can take a free demo class to judge the quality of teaching. And then it will be your decision to enroll or not. You are not bound to what your school chooses for you.

You will get better competition among the students from different schools and places.

I'd suggest not to completely go with online coaching unless your nearest coaching centre is too far or you want to study coaching from home. If you choose online, check for its reviews and make sure they have personal mentors who'll help you with your doubts.

Cheers !