They do make bridge rectifiers in a single package. It's basically just the 4 diodes you'd otherwise have in a single package.
You can get 80% of what you need for this project from a 6VDC wall wart. If you take a hacksaw to one and open it up you will find the transformer, 4 rectifier diodes and a capacitor. (Personally, I'd throw the capacitor away, however, and use a name brand.)