Enlarging pictures is never a good idea.
It's all about the dpi. Print size vs intended viewing distance and all that. There's a chart out there on the internet somewhere.
Billboards are often ~10dpi. You wouldn't want something that low resolution hanging on your living room wall though.
The charts often say you want to stick to between 200-300 dpi for best results printing, although different subjects perform better or worse and may require more.
At 200dpi, you're looking at something like 20x15" for a 12mp camera, assuming the file is uncropped. At 300 dpi, that's down to more like 12" x 9" or some such.
I would not recommend enlarging the image to print bigger, quality drops pretty quick when you do that.
When you're working with those tiny sensors, there's not much inherent image quality to begin with. You need to do everything you can to make the best of what you got, and cropping or enlarging are both bad ideas.
On the flip side, because those sensors are so tiny, the higher MP they are, the more noisy they will be, thus the less image quality they will have.
It's a balancing act and not a very fun one.
I can't honestly recommend a bridge camera for most people. There are too many negatives without enough positives.
The one exception to this rule is the Nikon P900 (and possibly the replacement for it, the P1000 I think it's called) because I know someone that shoots one, and I've seen the sort of images it can put out.
I don't know how well it prints, but for web use, you'd be hard pressed to tell the difference between a pic shot with that camera and a pic shot with my DSLR + 400mm f/2.8 lens.