The best you can have is a noncustodial wallet. With it you will have full control of your coins. You will be able to deposit money into an exchange of your choice accepted in the country you migrated to and also be able to make use of a payment processor.
I hope you know the meaning of a payment processor? Because I do not think this kind of question should be asked at all.
I learnt about payment processors when I tried to understand how some countries adopted crypto currency and use it for payments after they concluded their transactions. At least that is the only reason I know why it exist unless I get proven wrong by someone with more information. Perhaps you can explain more for me.