Property Law in the UK varies between England & Wales, Scotland and Ireland. That’s because the courts have separate jurisdictions. The biggest variation is in terms of how properties are bought and sold. In England, for instance, the practice of gazumping still exists whereas in Scotland this would be considered illegal.
The law applies to the location of the property rather than the domicile of the landlord or tenant.
In terms of residential property law this is usually handled by conveyaners (or solicitors, in Scotland). No property can be bought or sold without the input of a solicitor or conveyancer. Both are responsible for writing up contracts, engaging in thorough ‘searches’ and exchanging contracts when it comes to the legal handing over of property.