If that is a dishwasher I see then check VERY CAREFULLY that it is not leaking. Dishwashers and icemaker lines for fridges create notoriously slow leaks that can wind up destroying your kitchen and even your whole house. I work for a kitchen manufacturer and I had a woman call me in tears because her dishwasher had soaked all the walls and her cabinets which grew black mold for months before she noticed. Many insurance companies will not cover water damage after it starts to mold. As far as they are concerned you should be catching the leaks before they have time to rot the kitchen.
She had already torn out her kitchen down to the studs and the restoration company was telling her even some of those might have to come out. The replacement cost for her kitchen cabinets alone? $9,000-$12,000.
Had had already spent multiple thousands of dollars having her kitchen torn out (to give you an idea a professional installer is about $100-$150 an hour to demo and about $1200-$1500 to install a new kitchen) and was looking at, from my rough estimation, at least another 25-40 grand in replacing kitchen cabinets, flooring, drywall, studs, disinfecting the whole kitchen and, of course, getting a new dishwashwer put in and the plumbing repaired.
Water lines into a fridge for an icemaker can do the same thing. With a sink leak you will tend to notice it when it is new - because the stuff under your sink gets wet, or you hear a dripping. With dishwasher or ice maker water line leak it is not always a heavy drip, sometimes it is a fine mist that saturates everything slowly which is why they aren't noticed until it's too late.
If it is possible to rent a water detector from a restoration company (they use them to check what walls have been saturated if a house floods/overhead sprinklers go off) then I suggest spending the money to do it and check ALL of the walls in the kitchens and bathrooms for traces of water.
As long as everything in the house checks out then I say enjoy!!! Make sure to post pictures as you fix it up too!