Oh, before I forget, once you have connected to the home network, remember to go to your router's management web page on your home network.
Note down the IP address of the ASIAIR (it should show up in the home network's router table as a device with a name "ASIAIR").
For future convenience, make this a reserved IP. Or, assign a unique reserved IP for the ASIAIR that you can easily remember. Then reboot the ASIAIR -- it should connect back to the home network with the IP address that you just reserved.
In my case, I reserved 192.168.7.234. (123, Pi, e, and the Fine Structure Constant are already reserved for the other of my devices that I need to quickly recall :-).
If you forget, you can always check the home router again, or go to the ASIAIR WiFi Setup window, and check the Info of the Wired Ethernet (small i in circle in the iOS version of the ASIAIR app).
In the future, you can access files (images and PHD2 logs) on the ASIAIR by, on a MacOS, connecting to the ASIAIR's Samba server (in my case smb://192.168.7.234). As a Samba server, the ASIAIR works seamlessly as a network storage device that sits your home network.
Perhaps just as useful, you can store master flats and master darks into the same ASIAIR folder, so that ASIAIR can use them as calibration plates for doing live stacking.
By the way, if you had set the TP-Link up as a 5 GHz extender of your home network, you should get better performance than using 2.4 GHz, albeit, the TP-Link's 5 GHz network is limited (junk microprocessor on it) to about 400 mbps.
If you had connected the ASIAIR in Station Mode to the home network, it can only use the 2.4 GHz band (for now), so there could actually be an advantage to using the travel router through the Ethernet connection.
Chen