I need advice with MICE!!!?

Hi, please need help urgently, I discover a tiny little mouse running around my apartment, I bought some of those sticky traps and caught him EWWWWWW!!! I thought everything was safe but now I see mice sh*t inside one of my cabinets and I'm so petrified to open it again, not sure if the sh*t is from the old mouse or my apartment has more... I asked the manager and she just comes up with stupid wood traps...I contacted a guy that will charge 75 to come and load 2 or 3 traps and 45 every 2 months for follow up... do you think I should ask my rent lady to cover part of the fee? at least the first visit... I can't get into my kitchen without panicking and I have a 6 yr old that has no clue or she will freak out... please somebody give me a speech to tell my rent lady to cover part of the fee for the pro guy to come and load traps...