I suppose running a blog with good content might be helpful so that someone might find the service using a search term like "video streaming api" or similar.
On topic, you could try attaching a domain specific word to the end until you’re big enough to take over the generic one, ala Flock Freight, Cured Health, Glow Credit etc. Lot of those lately.
View.com was taken. They're selling windows, I mean actual glass not the OS.
If you’re set on the tld being part of the name, from a quick skim of available Google domains, something like “view.haus” would work a lot better, but there’s a viewhaus in GDL Mexico already taking up eg @viewhaus and viewhaus.com.
There are a lot of tlds though!