I don’t think that brand matters much from a security standpoint, although I’d avoid any external drive with built-in wi-fi.

If you want a blend of privacy and convenience, one option may be to have more than one partition on your drive. On my portable SSD, I have one convenience/media partition that can be read by all of my devices: computers, tablets, windows computers. My financial/medical/business records are on a luks-encrypted second partition. I could probably have done something similar with bitlocker, but I’m much more likely to pull up my encrypted stuff on a linux machine.