There is a house in el Fargue which may be suitable.
It is not right in the centre but there is a bus into town every hour.
It is very easy to get into the Cartuja University Campus in a car via a shortcut past the Astromomy faculty.
There is a restaurant very near which has always has free parking.
There is a lot of outside space where the children can play.
There is more information here.
https://granadainfo.com/lorca/