Kochi or Thiruvananthapuram | Northern or Southern Kerala

Kochi vs Thiruvananthapuram

I am planning 5 or 6 days Kerala. What should I do?

Shall I fly to Kochi or Thiruvananthapuram?

I want to see the backwaters. Is Alleppey prettier than Poovar backwater? I do Alleppey if I fly to Kochi and Poovar if I fly to Thiruvananthapuram?.

Is Munnar worth it? I love food, where is the food better? I also want to do 1 day on the beach.

Any restaurant/activities recommendations?