There are three most standard forms of payment: check, Paypal or direct deposit.
There are then a couple of companies that have chosen to use obscure methods of payment such as PayQuicker and recently one dredged up something I think is called Bill.com or some such. There are also some companies that pay with a gift card (primarily these are reimbursement for restaurant shops that are gift cards back to the same restaurant) and for a while one company was putting payments onto a debit card issued to the shopper.
I would make sure I could deal with the standards--check, Paypal and direct deposit--and not mess with companies paying by other methods until you are engaged in shopping enough that you figure you will be doing it for years.