You are absolutely right about the Blaupunkt, and it's a nice looking radio to boot.
I love SWL and DXing AM (MW) too in the wintertime. Bought a "Select A Tenna" inductively coupled AM loop antenna at the Westford antique radio fleamarket last winter and it works quite well. You might want to snag one of these for AM and low frequency SW (up to about 2 MHz IIRC). Alternatively, there are lots of websites and web-based groups with plans and information on loop antennas for AM and SW. Some examples include:
http://www.mindspring.com/~loop_antenna/
http://www.hard-core-dx.com/nordicdx/antenna/index.html
http://www.greertech.com/hfloop/mymagloop.html
http://www.frontiernet.net/~jadale/Loop.htm
There's also a loop antennas group on Yahoo.
BTW, I have an AM/FM R/S portable that looks a whole lot like your new multiband unit :-)
Cheers!