Any way to have both working at the same time?
Yes there is.
No need to disable Skype just change the ports that it uses.
Skype uses ports 80 and 443 by default.
You can alter that behavior by going to:Tools\Connection options...\Connections
UntickUse port 80 and 443 as alternative for incoming connections
BTW XAMPP should be installed in C:\xampp not in C:\Program Files (X86)\xampp or you will have many more issues down the track.