We visited Berrington Hall at the same time as visiting Croft Castle (they are within 10 minutes drive of one another).
As with Croft Castle, there is a long drive up to the car park/property and it is surrounded by beautiful countryside imagery. The grounds are immaculate and have various points of interest including the walled garden (which is an area growing edibles), a produce stall, and various walks and trails. And of course the Georgian house. Details of the history etc. can be found on the National Trust page here.
Though there was a definite “roped off” section in the main house, the children still loved it as much as, or perhaps even a little more than, Croft Castle. Though this may have been something to do with the dress up they could do; there are various bits of dress up in the house, from male court-wear to a petticoat for a court mantua dress on the way around, to the dress up room at the end of the tour around the house. Strangely Caitlin suits the look (and unsurprisingly wanted to take the dresses home).
There was also a kids treasure trail on for the summer here too. This one was based on the story of the Robinson Crusoe family, and the kids found this one slightly more interesting than the one at Croft Castle. It was a similar sort of setup, they just enjoyed the puzzle clues more here. Including, having to make a den in the den building area.
The grounds were fairly accessible, though the house would be inaccessible for someone with mobility issues as the house itself is entered and exited via many steps. We did not use the eating and toileting facilities here.