You might use Messages as an SMS app on your mobile.
The app also supports managing it via your desktop device:
- Open Messages app on the mobile and make it your default SMS app
- Via options menu ("...") on top right select "Messages for web"
- Follow instructions on screen, basically...
Enjoy web-application messaging on your desktop. The same also works for whatsapp-web in case you're interested.
As a plus you will also be able to use RCS within the Messages app. Basically this will provide similar functionality like Whatsapp but based on RCS standard.
Keep in mind that those are cloud services and you're potentially exposing information to Google or other service providers.