Usually deblobbed Linux supports hardware rather well, with the main
exceptions being hardware acceleration and wireless.
For video cards, if you have Intel integrated graphics (e.g. Intel GMA or
Intel HD), that's good; these graphics controllers are supported with
free/libre software directly from Intel. Many Nvidia cards also work well
thanks to the Nouveau project, especially ones that are a little old. As far
as I know, AMD/ATI cards are guaranteed to not have support for 3-D
acceleration, so they're the worst modern graphics controllers.
For wireless cards, the best ones are usually from Atheros. For everyone
else, it's really hit-and-miss. I think I remember hearing that the Wi-Fi and
Bluetooth combo cards are usually no good, but I also vaguely remember
someone telling me that's not true or something to that effect, so I'm not
sure. In any case, you can fix a bad wireless card by using a USB wireless
adapter, such as one of the ones sold by Think Penguin.[0] If you want to be
able to replace the actual wireless card, you need to watch out for digital
restriction mechanisms; many laptops from Apple, HP, Lenovo, IBM, Dell, and
Toshiba arbitrarily reject cards as some sort of anti-competition feature.
[0] https://libre.thinkpenguin.com
