So yesterday afternoon, during a call with someone, somewhere form Apple, I had gotten the idea to look at the Channel setting in the modem/router (an EasyBox 802 model). To be fair, it came form something that the tech guy said, but only in so much that it was something he said that only Vodafone could change. Anyway, I went into the EasyBox settings (at the time, from my iPad, because the MBP couldn't connect), and changed the channel to 3 (a number I picked for no reason) from the Auto setting it was on. Knock on wood, etc., etc., I've had a trouble free connection for about 24 hours now, after a couple of weeks of intermittent at best service. Do I think it's an EasyBox/Vodafone issue? Absolutely not. Clearly something is different in the way the MBP is dealing with Wifi networks.
To remind everyone, especially (hopefully) the Apple guy or gal that may read this, my iPad, iPhone and WLAN Printer (Cannon MF-4780w) never had a problem connecting. And fortunately, the channel change seems to not have effected these devices at all.