I'm new to my company, so I'm asking questions to bring myself up to speed. However, something I'm wary of is becoming a burden - I assume you don't want to ask the same person every time for help. Any tips on how to figure out who I should ask my question to minimize the chance of this happening? I want to make sure I get along well with my team.
I think some amount of load balancing makes sense; you want to get to know as many members of your team as possible anyways. It's also always nice getting multiple engineering perspectives - It's very helpful for growth. I also recommend asking junior/mid-level engineers for help as they'll likely be excited to help a senior engineer, and there's a good chance you can teach them something in return due to your seniority.
Another thing I want to add is how you thank people for answering your questions is really important. There's less of a chance that you'll feel like a burden if people really enjoy answering your questions due to your strong gratitude. People don't realize that thanking people well is a skill, and you can learn more about that in my video here: How To Build Work Relationships Faster - Giving Deeper Thanks
Here's some quick thoughts from that video on how to properly thank great helpers:
I also recommend my Effective Communication for generally good advice on better interacting with people: Alex's Guide To Effective Communication