Intel mobile cpu's (laptop processors) which are fairly powerful and include their Quick Sync Video feature would be a good choice. Check for laptops that have at least a Core i7-8550U cpu (4-core/8-threads); even better would be the Core i7-8750H and Core i7-8850H (6-core/12-threads). All major brands of computers offer models with one of these processors.
If you can play with one in a store before deciding, that should give you confidence in your choice. I've used a number of different laptops over the years, and find that I quickly adapt to whatever keyboard and touchpad they have, but every machine has its own style. For example, my 4 year-old Lenovo 15-inch Y500 model is solidly built and runs quietly and smoothly. The backlit keyboard and excellent keys are a pleasure to type on, but the touchpad is not to my liking. So, I use a wireless mouse instead of the touchpad - problem solved. We also have a newer ACER laptop. It's thinner, lighter and easier to carry than the Lenovo, yet it doesn't "feel" quite as solid. The touchpad is way better than the Lenovo's, but the display screen has a limitation. It's an anti-glare screen which is OK, but the picture fades rapidly if you look at it from off to the side. This is only a problem if you're trying to share with someone else sitting beside you which places each of you off-center, so neither of you sees a good image. Not a problem at our house, but it could be if you collaborate with someone on a video edit!
The point is they all have some eccentricity or other, and you have to live with it.
As for Intel Quick Sync Video, it will edit and transcode video about as fast as a good dedicated graphics card and generate less heat, so that's worth considering. The most powerful laptops for video editing are probably the high-end Gaming models. These tend to have higher prices because everything has to be beefed-up, so to speak, to supply extra power, extra cooling, extra everything. You might want to take a look at Newegg.com. They have a category menu at the upper left of the main window where you can choose laptops or even gaming laptops. A left-column menu in the next page will let you select Intel 87xx or 88xx cpu to narrow down the listings.
The newest AMD Ryzen cpu's are really good, too, but I'm not sure about their heat output, fan noise, etc. compared to an equivalent Intel Core i7 cpu.