Question: My supervisor started the e-mail thread of welcoming me to the team/department. Several team members has already replied (including the boss of my supervisor so I'm extra nervous) with a brief but warm welcome message. I was wondering what is the best way to reply in this thread.

This is my first fully remote role so I am not that familiar with how it works yet.

Would a short reply like "Thanks for the warm welcome, I'm excited to be working with everyone and I'm looking forward meeting you in the upcoming weeks." or Should I be adding my professional background/main tasks of my role/hobbies/etc. ?

Answer: 
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> Would a short reply like "Thanks for the warm welcome, I'm excited to be working with everyone and I'm looking forward meeting you in the upcoming weeks."
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Yes

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> Should I be adding my professional background/main tasks of my role/hobbies/etc. ?
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No.

That type of detail is "need/reason to know" and not for general consumption. Talk about your hobbies in a socially appropriate context (lunch, water cooler, etc) and talk about your professional background/role with the people you work with directly and only when this is actually relevant to the current topic.
You were lucky enough to end up in a workplace that seems personal enough, that the welcome messages actually sounded warm and welcoming. Personally, I would add something along the lines of "I'm hoping to meet you guys in person or over an online drink soon, to get to know you."

But the actual reason I write this answer, is to remind you to take things easy. Either message would have been fine, neither could have let to a distaster! Try working on not overthinking simple things, and trusting your gut/first ideas. It will make your (work) life a lot easier. If it leads you wrong some day, you can blame it on me.