A free Google Voice (GV) account makes this an easy process. You can receive/send text messages from any computer or smartphone via WiFi. You can use GV free phone number you select, or port your existing number for a fee.
When I'm working remotely, I don't even use my phone. Make/receive all calls from my PC from GV while working. Outgoing calls see my smartphone number.
Becoming a trend even in business environment. We have Cisco VoIP phones at work, but can use their software app on our PC/laptops to make/receive/transfer/conference calls. Don't even have to touch the handset.