I would suggest you remove the DMSO to avoid any cytotoxic effect on the cells which may be seen after the first or second passage.
You can remove the DMSO either by centrifugation just before plating or thaw the cells containing DMSO in complete medium and after a few hours when the cells attach to the substratum you can replace the complete medium with fresh medium.
As a general rule, cryopreserved cells are thawed and washed in complete media ( if you expect more cell death you can increase serum percentage) before plating. DMSO is cytotoxic and culturing along with it can lead to cell loss.
I agree, it is usual to remove DMSO first. Add 1 ml thawed cell culture to 4 ml complete media and centrifuge at 200 x g for 5 minutes. Then resuspend in complete media to whatever concentration you desire. HUVECs can grow quite slowly if they are not plated at a high enough confluency (approximately 40%) so take that into account.