Da Vinci is very nice, but the hardware requirements are pretty high
I studied myself the possibility of implementing a low cost Da Vinci solution
It is possible to buy second hand workstations for about 500 euros, excluding screen and some peripherals
It is the lowest possible hardware that barely matches the requirements of Da Vinci 15 (last version)
Something like this
HP Z400 Intel Xeon Six 6-Core W3680 3.33GHz 16GB RAM Quadro GFX Workstation PC | eBay
Then a powerful GPU that costs about 200 bucks would be necessary, plus some other gadgets
Total about 500 eur like I said before
With this kind of hardware sometimes it would take hours or even days to process 4k videos...