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For what it's worth, we also have pebbledash painted over (In Catford too) and would love to get it brought back to brick and all proper. However, it's going to be really hard to get someone to give you a specific quote as before they remove the render and clean the bricks there is no way of telling if you'll need to replace 50 or 200 bricks on top of the quote for pebbledash removal and cleaning.
We're planning on doing more of the essential work first before moving onto this further down the line.
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there is no way of telling if you'll need to replace 50 or 200 bricks on top of the quote for pebbledash removal and cleaning.
This isn't completely true. @hoefla is right of course in that you should never be trying to take pebbledash off a house that is meant to have it, but the way to tell is what your neighbours have had done to their places.
In our area this is lots of removal of pebbledash or render to reveal the lovely bricks beneath. I haven't seen any evidence of bricks needing to be replaced or heard any horror stories from the multiple people on our road (and nearby roads) who've had it done.
Elsewhere you can definitely have pebbledash removed and end up with lots of knackered bricks because the facings have come away, but some research should tell you the most likely outcome based on the experience of your neighbours.
We were told by doing so, the brick will get damaged.
However they says you can replace with lime rendering to allow it to breathe without needing to replace the bricks.
(We have pebbledash that’s painted over).