Will Bitcoin have copyright?
If there is copyright, who should we apply for?
I want to open a clothing store. The clothes designed have the Bitcoin logo. Support the use of cryptocurrency for payment.
(Clothes like this. My painting is not very good.)

But suppose I print Bitcoin on clothes, is this legal?
No copyrights of bitcoin you can use free mind, you can print on shirts, caps or any where there is no issue, however if it is illegal in your country then you have to check law detail about bitcoin.
You can prints bitcoin logo in shirts and i am 100% sure you will get good response, if payment process in BTC only.