If you want to be a good photographer, you should have a camera with you all the time. The best photos can present themselves at the least expected moment. If you don’t want to carry your big SLR all the time, then get a tiny point-and-shoot to hang on your belt or keep in your purse.
I have a Casio Exilim 750 I bought refurbished off of eBay. It takes great pictures, is easy to use, and has all the requisites of a serious camera (like RGB histograms). It also records audio and video, is made of stainless steel, and has a fully automatic “dummy” mode that anybody can use. When we’re on vacation, I give this one to my wife (she likes the small size) while I carry the big one around.
Remember, it isn’t the camera that takes great pictures. It’s the person pointing it!