I can’t answer your specific questions - and further I think for anyone to answer your questions, they need to understand better what you mean by “personal/home use”. If that only means watching videos, surfing, writing documents and doing the occasional spreadsheet, then pretty much any laptop in the past 10 years should be able to do that. Even my old Toshiba Z930 ultrabook, that I bought in year 2013, can still do that (as long as one is happy watching only 720p resolution movies).
I recently ordered a new laptop, which should arrive in a week, which I posted about here: https://forums.opensuse.org/showthread.php/559085-Looking-to-buy-a-Lenovo-X1-Carbon-ultrabook-to-replace-my-old-Toshiba-Z930-ultrabook
I don’t, at this time, recommend you follow my approach. (1) the Lenova X1 carbon gen9 I ordered would massively exceed your budget, and (2) its far far too new.
I fully anticipate to encounter some issues with my Lenovo X1 Carbon gen 9 that I ordered - but fortunately I have no national nor international travels planned for at least 4 months, and more likely not for at least 10-months or longer (due to this global pandemic). That should give the GNU/Linux community time to sort the issues. In the mean time, at home, I have my old Toshiba Ultrabook, and I have a couple of desktop PCs. So I have time to sort any Lenovo X1 Carbon gen-9 issues
Excellent advice was given in this thread, and one of the good recommendations was to "look… at something that came out a few years ago " . The reason for this is computer hardware developers, and laptop manufacturers either do not support GNU/Linux, or if they do (support GNU/Linux) their GNU/Linux support is relatively feeble compared to their Windows support. Hence GNU/Linux users need to rely on ‘hackers’ to produce the hardware support/drivers, and on communities/free-software-developers/packagers to provide the software. This all takes time for good new hardware support, to be available. Hence laptops that are 2 years old or so, tend to have much better support than brand new laptops.
In my case, for travel I have a MASSIVE preference for a VERY light laptop. If you truly plan to cart this around to different countries/homes with lots and lots of frequent travel, then give serious thought to how much weight you want to put up with. If every couple of weeks you are moving, then I would recommend an ultrabook, and try to stay 1.3kg or less (which significantly reduces the market to consider). If you plan only to move every 6-months or longer, then up to 2x that weight in a laptop might be acceptable.
Also, think of your peripheral requirements. I hate using the laptop’s track-pads. I always use an external mouse, which means I tie up a USB port. I might eventually switch to using a bluetooth mouse, but I have not done so yet. I keep lots of home images/videos on external hard drives, and on occasion I need to shuffle videos back and forth between external drives (to reorganize). This means I need to be able to simultaneous plug in 3 devices (1 mouse and 2 hard drives) at the same time. This means more interfaces needed and for me, that (together with my less weight demands) significantly reduces the laptops available (as I do NOT want to cart around an external USB hub).
So give thought IN DETAIL as to how you plan to use this and consider your peripherals in your thinking as to the laptop brand you want to use.
Good luck.