The nearest hotel I've found that corresponds to presented needs would be Hotel Vestina in Wisła.
The hotel staff will provide assistance in organizing:
- professional nannies
- animation programs for children of all ages
- sport and recreation programs for older children
- the purchase of cosmetic products for children, porridges, juices, etc.
So it seems that they don't hire their own nannies, and just help only with 'organizing' them. Very few hotels with baby care in Poland.