As a UK citizen you shouldn't need a visa to visit to Romania but you will need to apply for a long stay visa and a work permit if you plan to stay there for longer than 90 days and be employed. However, it is relatively easy for EU citizens to get visas and work permits in Romania.
Have a read of our Visas for Romania, Work Permits for Romania and Working in Romania pages for more information. Also look at our Romania guide in general for essential information about the cost of living, culture shock, banking and more. We also have a guide specifically on Bucharest which might help you.
The best of luck with your move to Romania.
Perhaps have a look at expat- blog.com. They have a jobs section on their Bucharest page.
The best of luck.