What other unis do I apply to with Cambridge law interview?

Hi!!!!

I have only applied to Cambridge law so far. I recently received an interview. I am private school, UK domestic, no extenuating and A*A*A with A* EPQ.

If I don't get in to Cambridge, I would love to be in London and go to either UCL or KCL. Some others being considered are Manchester and Bristol (not including safety).

I didn't apply everywhere at same time as I was worried about LNAT. Now that I have an interview, does that mean my LNAT is good, more importantly good enough for UCL or KCL or Bristol? Since I am not 3 or 4 A*, I could see LNAT being a strong point for me so then it wouldn't make sense to apply to non LNAT Manchester.

Please could anybody provide insight on whether I am reading too much into the offer invite and its correlation to my LNAT?

Final question, do I stand a better chance at UCL or KCL?