I started using my shack remotely over Internet from time to time, listening only for now though technically I can transmit. I am using TeamViewer v13; good piece of software, free for personal use. On the shack's side I have Icom 7300 for a radio, Palstar AT-Auto tuner, and antenna I choose while at home (still working on the PC-controlled remote antenna switch). The radio is connected to PC with (one and only) USB cable. The sound from the radio is enabled on the PC so I can hear everything in remote session. The PC is Windows 7 x64 and I had no big issues configuring it with available Icom driver. To be able to drive the rig remotely, I use Win4Icom program by Tom VA2FSQ; I like the result better than Icom's own RS-BA1 which I also tested. Win4Icom can by interfaced with number of logging programs, it can reproduce Icom's waterfall on bigger screen or replace it with SDRPlay's much nicer waterfall -- I have SDRPlay and RX/TX switch and will test it in the nearest future. It also features clublog spots window. As you see in the screenshot below, taken at the remote side, some old webcam is also there, used to look at my rig's and tuner's screens; there is also CW decode program as I am still learning morse code. All in all, it is very nice, robust setup; if anybody interested in details, I can explain here, just let me know in comments.

73!