Biggest demand for lawyers (in private practice) in Dubai is Construction/Projects, Property, Finance and Corporate. As with the rest of the world the firms like the 2-5 year PQE range. Your property experience is probably useful - depending on what sorts of matters you've worked on. Criminal and estates law I think is largely dealt with by Emirati lawyers.

Suggest talking to a legal headhunter based wherever you are who specialises in international placements.

All the best!