Making a poor quality enlarger from parts, isn't very difficult. An enlarger is basically a specialized projector. Since you don't intend to spend much money at all, I'll tell you what I did a few years ago with some success.
There a few key components to an enlarger. In the interest of simplicity, don't try to make a vertical enlarger. Instead lay everything out on a table and project against a wall. First you need a light source. For my project I used a screw in CFL bulb in a cheap lamp I picked up from a thrift store. Second, you need a way to diffuse the light so that it lights the film evenly. For this purpose I found some opal glass at the art supply store. I bought one quite a bit bigger than the image I was projecting (which was 4x5). Virtually anything will work as long as it is translucent, doesn't have any texture, and doesn't block the light which photographic paper is sensitive to (blue and green). If I were really desperate I'd buy a dollar store picture frame and coat the glass with Elmer's glue.
Now that you've created the light source and diffuser, you need a box to put it in. A cardboard box is fine if you're using a CFL bulb (because it doesn't emit much heat, still turn it off when not in use). Now for a lens. Enlarging lenses are extremely cheap, but if you can't be pressed to buy one, you can always use the lens of the camera you have. You already know it covers the format well. But aside from this, if you like, you can buy a glass magnifying glass to use instead, but the quality will be lower, and it probably still costs more than an old Wollensak lens from eBay.
Put the lamp in the box, cut a hole in the box centered on the bulb, and tape the diffuser on. Move the lamp around until the diffuser is lit evenly. With card board or foam core, you can create a slot to drop in the negative. For focusing, you can choose to either have fixed focus, which means than you can find the spot where the lens and image cover the paper exactly, and just leave it there. Or you can create a focusing mechanism, the simplest would be a second cardboard box (like a sliding box camera), or the lens taped to a stand somehow. You'll need to move the lens and the projection box relative to the wall to achieve the right focus and image area. Since you aren't using an enlarging bulb, you'll need to need to expose the paper longer. Test the paper for exposure times just like you would with a commercial enlarger.
As you can see, this outfit is very primitive, but with it you can put an image on paper.