Quick way to check if a program is using hardware video acceleration is with a gpu top utility.
Intel - intel_gpu_top
Nvidia - nvidia-smi / nvtop
AMD - radeontop / nvtop / amdgpu_top (just did quick search, don’t have any AMD powered on to verify)
I’ve had good luck with refurbished Dell laptops. My primary laptop is a refurbished Dell Latitude 11" 3120. Bought it for ~$250 at beginning of this year and currently have Fedora on it. It’s not very powerful. I use it primarily to browse the web, watch movies/tv, and vnc/ssh to my other systems. Can last about 5-6 hours streaming video from jellyfin at 50% brightness, other stuff barely uses any power and can stretch out to 9-10 hours if I set display brightness even lower.
I’ve always bought Windows laptops then put linux on them so I’m used to verifying that tools such as TLP are installed, configured, enabled, and working. There is too much variety with laptops for all of them to be handled automatically unfortunately so I always verify it. If a laptop came with Linux pre-installed then it might be good to go ootb but I’d still verify.