Hi,
without some form of tax statements it is very difficult to prove your income. Proceeds from a bank account is usually not accepted as the bank needs to know that u have an ability to service ur loan. What you can do is to find a joint applicant in ur loan application?
for application of credit card u would need to produce income documents as well. may i propose for ur case u consider using secured credit cards, which is to pledge a fixed deposit (usually $10k-$20k) against ur credit card application. it is usually easier this way.