While I've been digitalizing and processing old pics and slides for some time now, it was only about 3 months ago that I got a digital camera. This was for all the usual reasons, plus increasing dissatisfaction at the declining standard of film processing (esp. in the UK; Germany is better).
My old camera was an OM-1. I decided I needed something reasonably lightweight (so no dSLR), but I had about 400 euros to spend. I also absolutely needed a viewfinder, because I cannot see a distant scene and a screen with the same pair of glasses. A viewfinder also helps stability (and horizon straightness) from the way you have to hold the camera. While my ambitions go well beyond just 'point and shoot', I am very much an amateur. So in the end I decided on a bridge camera, and got a Canon SX40 HS, with which I've taken about 600 photos (i.e. more than in the last three years with the OM-1.)
A digital camera takes some getting used to. The viewfinder image is cluttered, but at least you see what you're going to get. On Automatic, except in very standard lighting, the exposure is quite wrong (too bright). So I only use Manual, which is a bit fiddly, and it's far too easy to change settings you didn't intend to change. Greens and greys tend sometimes to be (much) too blue, esp. if there's a lot of orange in the picture, but that doesn't really matter as I've processed about 10,000 digitalized images and know my way around. The autofocus is mostly reliable, but not if you take a shot in a hurry. The manual focus is very difficult to use, and I only use it for astronomical photos where the AF has problems finding the motif. The zoom (to 810mm) is fantastic and vastly increases the versatility of the camera. It has enabled me among other things to photograph Jupiter with its moons, and to produce outstanding shots of the Moon. I suspect I am going to miss the very shallow depth of focus I could get with the OM-1, but all in all, I think the quality of the pics is as good. As with most modern devices, about 80% of the facilities are surplus to my requirements. I don't need video, nor do I need 'correction for mercury vapour street lighting' (!).