Can the landlord charge me for carrying out the repairs?

No, if you have successfully won a claim for housing disrepair and the landlord has been forced to resolve the issue on your property, they cannot charge you for this work. If you have reported a problem that is outside a landlord’s basic responsibilities, they may choose to carry out this repair, but you cannot make a claim if they don’t carry out this work, and the landlord is entitled to charge you for the work if they choose to do it.