So I got a new Desktop Computer (Dell Precision 380) and a Monitor: HP2159v, a 21.5" Full-HD monitor, it's perfectly fine, nice picture quality. Downside - the only connector is VGA, no DVI, no HDMI. I'm happy with whatever I get since I've exclusively been using laptops for 6 years now.
This config got 1920x1080 resolution going for me:
Section "Monitor"
Identifier "HP2159v"
# 1920x1080 59.96 Hz (CVT 2.07M9) hsync: 67.16 kHz; pclk: 173.00 MHz
HorizSync 24.0 - 94.0
VertRefresh 50.0 - 76.0
Modeline "1920x1080" 173.00 1920 2048 2248 2576 1080 1083 1088 1120 -hsync +vsync
EndSection
Section "Screen"
Identifier "Default Screen"
Monitor "HP2159v"
Device "Configured Video Device"
DefaultDepth 24
SubSection "Display"
Depth 24
Modes "1920x1080" "1024x768"
EndSubSection
EndSection
Section "Module"
Load "glx"
EndSection
Section "Device"
# nVidia Corporation NV41GL [Quadro FX 1400] (rev a2)
Identifier "Configured Video Device"
Driver "nvidia"
Option "NoLogo" "True"
EndSection