Updating your products is about the same process as creating them. You’re going to utilize the same API (/rest/V1/products).
The way we approach putting products up on our web site is to stock everything with a qty 0, and then the current price for the day its pushed over to the web site. From there our sales and marketing team will do daily updates of the current pricing and send over an update thru the REST API. Additionally, we have a cron setup that pulls inventory files and updates qty levels every few hours. This is where my talk about product updates and qty/price comes into play.