To edit in DaVinci Resolve without it freezing up, you need at least 16GB of RAM, a powerful processor, and ideally a dedicated GPU. With $1500 you've got a pretty solid budget, though honestly the Mac vs Windows debate here is more about personal preference than pure performance. A MacBook Pro with an M3 or M4 chip will work great with Resolve - Apple's integrated GPUs are crazy powerful for this kind of work - and you'll comfortably stay within budget. If you're going Windows, look for a laptop with a latest-generation processor (Intel i7 or Ryzen 7), 16GB of RAM minimum, and if you can swing it, an RTX 4060 or similar; lots of options from brands like ASUS, Lenovo, or Dell will let you get that at that price point.
The real difference you'll notice is in stability and how Resolve handles heavy effects. Macs tend to be more stable with this specific software because it's really well-optimized for them, but that doesn't mean you can't find a Windows machine that runs just as smoothly if you set it up right. What I do recommend is checking out specific Resolve reviews for whatever model you're looking at, because some laptops have weird issues with certain codecs or GPU acceleration that you don't see until you actually start editing. And watch out for storage: 512GB is way too tight if you're working with video. Try to get to 1TB or consider a decent external drive if you need to.