Deals vary from publisher to publisher and often from writer to writer within a publishing company.
You should not attempt to arrange any sort of long-term agreement without the help of someone with experience in dealing objectively with the issues involved in negotiating contracts between writer and publisher. The following are basic points that each contract should include. Also, there should be no options for future songs. All performance royalties must be received directly by you from your performing rights organization and this should be written into your song contract. If the contract includes a provision that the publisher can change the title, lyrics or music, then this should be amended that only with your previous consent can such changes be made.