Hi thanks for your question.
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Retsrictive covenants like this normally bind the successors in title, i.e. the subsequent owners too. This is why they are noted in the official register by the Land Registry, so that subsequent purchasers (and everybody else) is able to identify covenants that affect the land concerned.
If the covenants has been positive, e.g. requiring you to do certain things, like actively to maintain a fence, then these would be less likely to have effect on you as a purchaser. However, restrictive covenants, preventing things from happening, are usually enforceable against the new owners.