Definitely BUR, it’s smaller, less hectic. And since you’re staying out in that area, Universal Studios with the Wizarding World of Harry Potter is worth a visit (the kids will love it) and next door is CityWalk lots of restaurants and shops.

BTW, Universal Studios has something called “Front of the Line” passes which you can use to skip the lines and get priority seating at the shows. We’re never opted for this $$, but “our visiting horde were teenagers so they just spend the time in lines on the phone.
Universal Studios Hollywood | Official site of Universal Studios Hollywood theme park in Los Angeles California. Your guide to park hours, attractions, and theme park ticket deals.