>So, I would like to know all checks or what steps do I have to take, to
ensure that the whole computer could work right.
The two components that need to be checked are the GPU and the wifi adapter.
If it is an AMD GPU then you are going to be very, very disappointed (without
the proprietary firmware you will have no video acceleration, and a furnace,
expect temps as high as 100 C now that it is summer, almost).
Intel GPUs other than the new skylake will do their job perfectly fine. Most
Nvidias will work fine (at least they did on every PC I installed Debian or
Trisquel on for those few relatives and mates that care about free software).
The wifi adapter must be an Atheros 802.11N chip, series
AR9xxx or AR5xxx.
