Kitchen needs vary widely. One person likes a compact kitchen while another values the wide open spaces. The next question is a big one, especially for families with children. It is often difficult, and expensive, to add a bathroom to a house. It is much better to buy a house with enough bathrooms for your needs.
Structural issues are of obvious importance.
It is terribly disappointing to find you have become the owner of a house whose basement turns into an occasional indoor wading pool. Having to shell out several thousand dollars to repair or replace an aged climate control system is very discouraging and may be financially stressful if you have spent nearly everything to get the house. An old system may be grounds for negotiating for a lower price for a house. Look for signs of deterioration. Cracked, curled, or missing shingles are an obvious sign.