Lots of smaller vias is better. For the same area. I usually do 0.3-0.5mm ones. I actually tested this, but it is simple mathematics.
A 1mm via has 2 x 1mm x pi x plating thickness copper. 4 x 0.3 mm fits the same area, and it has 4 x 0.3 x 2 x pi x plating thickness copper. 4 x 0.3 > 1 x 1.
Yup, smaller holes --> more perimeter.
Fab is often restricted on how closely the holes can be packed, so there is some advantage for slightly larger holes. They can be placed with higher density. Again, 0.3-0.5mm is about as good as possible.
Very small vias rarely fill with solder, even if they are exposed to solder (via-in-pad or wave). This is a problem below about 0.3mm. If you're doing a solder wave process, it can be worthwhile to use somewhat larger (say 0.5 to 0.8mm) vias, untented, so they fill with solder.
Solder is a poor conductor of heat and electricity, about 10 times worse than copper. This is made up for by the much greater volume: instead of a ~35um layer of copper inside the hole, the hole is filled solid with metal!
Worth remembering for SMT power devices too (thermal vias).

Tim