one wordI can imagine birds to be more of an issue than monkeys. Cats may also visit. If there is a rodent problem there will soon be a snake problem as well... Open kitchen needs to be kept squeaky clean outside and inside cabinets. All food stored in containers / fridge. Trash taken out every evening. My impression is that open kitchen is often found in tourist villas for short term rental. Cost cutting measure as large windows and doors are not installed.
For us on long term rental enclosed kitchen is the only practical way. Even following the simple rules mentioned above -- an enclosed kitchen will still be visited by ants due to their exceptional sense of smell. A harmless cicak (house lizards is usually part of the inventory..