Anyone know how I can transform my alpha channel PSD file, into 2 files: a matte layer & a fill layer, both as bitmaps.
Are you sure they can't use a TIFF with alpha channel? Some equipment will support TIFF images.
To get your two BMP files"
First BMP: Do a "save as", select BMP as the format and select Windows BMP from the options dialog.
Second BMP: I'm assuming the alpha channel is a layer mask (if not, use the channel palette). Create a new layer from the mask alpha channel by doing this: alt click on the mask, select all, copy, alt click on the mask again. Paste to create a new layer at the top containing the b&w mask. Do a "save as" just like you did for the first BMP.
That's it. However, I'm not sure that is going to give you what you want regarding the transparency. Saving the first BMP, you've essentially flattened the image and filled in the transparent areas with the background color. The image is solid. Your mask is probably pure black and white, no grays. So, you're going to get a solid Digital On-screen Graphic. I think what you will need is a 100% opacity layer for the Bug logo and then set the white area of the mask to 50% gray to get your keyed transparency. But, check with your Playout Centre first to find out if this will work that way with their equipment.