Pending roach nightmare, or mere roach overreaction?

Prologue: I hail from a place where roaches are not an issue, so I am uneducated in their ways.

Yesterday my across the hall neighbor brought in a table from the street not realizing it had hollow legs that were roach-infested. She immediately bought traps and has only seen one since. She's having someone clean her apartment tomorrow.

I have never seen a roach in our building.

Should I now expect a deluge? How can I arm my apartment against them, aside from keeping it clean (though there is always dog food out). Do I need traps? Guns? Blowtorches? I have a completely out-of-proportion fear of roaches and don't want to deal with them ever ever EVER!