Joanna Lambert's advice about getting a career in anthropology is just as valid in Britain, but the jobs are much scarcer. Psychology, in contrast, has been something of a boom subject in Britain, led by buoyant student demand. Literally hundreds of jobs have become available in recent years. Psychology is a very varied discipline, and primate research contributes only to one small part of it, so many of these jobs wouldn't have been available to primatologists-but enough were to make this a good source of employment.
Psychology is now where most UK primatologists work, and that's especially the case in Scotland.
On the other hand, the mainstream of cognitive psychology and neuroscience is now refreshingly sympathetic to the need to understand the evolution of the human mind by comparative study of animals, in particular primates. This is good news, if your main interests are in social complexity, learning, manual skills, group formation and socioecology, sexual behaviour, or in fact anything that in humans would come under the broad umbrella of psychology. And provided that gut biochemistry and plant phenology can be clearly related to a primate's foraging strategy, social grouping, and hence to its behavioural interactions, you can still study nutrients and trees when necessary. This has never happened here, and the word still means the respectable scientific study of the biological underpinnings of social behaviour. The Benchmark Criteria for a good psychology degree, published very recently in the UK, mention sociobiology as an important part of the core area, Biological Psychology.