For Maths you can either take GCSE or IGCSE, it doesn't matter which. Cambridge IGCSE is notoriously known as the hardest. Edexcel IGCSE has two papers, both allow use of a calculator, but you do have to learn calculus which is not in GCSE Maths.
For English Language you want IGCSE rather than GCSE, to avoid the speaking component. Either Edexcel IGCSE Spec A, Edexcel IGCSE Spec B, or Cambridge are fine, it's really up to you.
We use Edexcel IGCSE Spec B personally, as it's a single paper and you don't need to study an anthology, which my kids prefer. (The exam is 3 hours long though).
For English Literature have a look through all the specs and see which is right for you. We went with Edexcel IGCSE, and my daughter studied Romeo & Juliet, An Inspector Calls, and Of Mice and Men, but there's plenty of choice.
For combined science you want IGCSE. Many home ed students do Edexcel IGCSE for science subjects. GCSE has practicals which are almost impossible for home ed kids to take.