>>106233261
The main difference is that single mode uses a single light path whereas multi mode uses multiple light paths. The single light path approach allows for higher bandwidths over longer distances. The multiple light path approach introduces signal distortion over distances which limits the bandwidth.
Realistically speaking, either is fine for home use giving the bandwidth of even multi mode is more than enough. However the main cost factor isn't the cable itself, it's the equipment or the laying of the cables into the walls and setting up outlets if you pay someone to do that and don't diy it. Given that multi-mode also requires something like SFP+, you might as well just go for single mode as prices were similar last I've checked.
Btw don't bother with splicing fiber optics yourself, it's not worth it, maybe only if you rent the expensive splicing device. You can buy fiber optic patch cables and outlets that don't need splicing, it's plug and play, just buy a patch cable at a fitting length or slightly longer and just loop (15cm+ loops for single mode) any excess cable length inside the wall.
I've looked into this because I've been considering it for my house but I've put it on hold for now.