I've been thinking a bit more about this. For me, the Lumix does everything I want. It has all the different modes, from simple portrait through to sports. Also, it has various controls to change the exposure and so on. But then, I expect most compact cameras in a similar price range do the same. My advice is to go for the best deal on a well-known brand, but do not go below 6 megapixels.
Years ago, I got heavily into photography with a Pentax ME Super, hundreds of lenses form 17mm to 500mm mirror, plus all the darkroom stuff and studio lights, etc. Well, I've got to be honest and say the results I get today are miles better than back then. The only thing I don't have are the various filters I used, but then Photoshop can reproduce many of those effects anyway.
One thing that hasn't changed is brand loyalty. Curiously, this is very pervasive throughout the electronics sector. Mention PCs, Hi-Fi, mobile phones and cameras, and people will always fiercely defend their brand, rubbishing the competition at every opportunity. It's really rather strange. Mind you, I suppose it also applies to cars. Omegas are best, all the others are inferior!

As far as photography is concerned, I find that people spend far more time choosing a camera with all the bells lights and whistles and hardly any time on learning how to take a good picture. Many a tacky portrait of someone smiling as they lean against a tourist attraction has been taken on a camera that cost a fortune and yet a cheap disposable would still capture the same awfulness. IMHO, peple should learn to take portraits of people when they least expect it, thus getting a natural look that captures their true selves. As far as landscapes are concerned, I was always taught to look for the different angle and check all round the field of view for things like a single tree or building which might spoil an otherwise perfect shot.
Think I'll stop now. Hope you see what I'm getting at!