Can you recommend me a publishing house which is willing to take on new literary translators?
Excellence and experience both in literature and languages are needed to build a career in literary translation. Research publishing houses in the countries where your languages predominate. I’m guessing that the largest book publishers (Simon & Schuster, Random House) might offer the most opportunities, although you might find a smaller publisher specializing in literature in your native language. In the U.S. you’ll find the most comprehensive listings of publishers in the “Literary Market Place” and “Writer’s Market” annual books. I think the UK has a similar one. When you find some likely prospects, query them. What can it hurt? Tell them your educational background and credits and specialties. Good luck!