I applied to both EAPSI and GROW (Japan) last year and was awarded both. My GROW project is an extension of the EAPSI project so the two proposals are similar.
For the budget just create a brief table stating what the funds will be used for (ie airfare, moving expenses, baggage fees, some research materials, etc). Also make up a separate budget for the living allowance that includes things like rent, food, insurance, etc.
If you have any other questions I'll be happy to try to answer them.