Cardiff boss Mick McCarthy said:
"It's a great feeling, not only to have my first victory in charge of Cardiff, but also my first win in the Championship since I was at Ipswich three years ago.
"The lads had to work really hard for it. If you get early goals it makes life easier, but we expected Bristol to respond in the second half and did really well to keep a clean sheet.
"I watched their game at Brentford in midweek and knew they were struggling for a left-sided defender.
"We felt we could hurt them down that side and both the goals came from crosses from our right.
"They were both well-taken. We could feel the bottom end of the table creeping up on us and hopefully this is a step towards sniffing the teams at the other end."
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