Eddard doesn't have any though I feel it'd be fun if he had some cute little thing follow him around for a time. He'd get to act all gruffy and pretend it wasn't the damned cutest thing he'd ever seen as it playfully prodded his leg in an attempt to get his attention. It probably wouldn't be permanent though it'd be enjoyable.
"When the power of love overcomes the love of power, the world will know peace." -Jimi Hendrix