Here's a picture of the back of my Featherweight 75, showing the metal handle which is built in. (It doesn't come with a case. There is a special bag that Singer makes which holds the machine and accessories, which I purchased separately.) Also show in the picture is the foot control, which is small, round and made of black plastic.
Even though they call it a Featherweight, it's not extremely lightweight nor does it feel like a cheap plastic machine. It does not slide all over the table when you're using it - it's very sturdy. I have done some really heavy-duty stuff on mine and had no problems.
I actually have a full-sized Brother sewing machine that feels a lot "cheaper" than this Featherweight, is more lightweight and does slide all around when sewing. So I like this Singer much better!
This Featherweight also comes with an extension table which is standard equipment. It's nice to have that larger, sturdy surface to sew on.