While I love the dslr and I wouldn't go back for anything, it does make great sense to start out with a "good" point and shoot. There are a lot of web resources that will rate these cameras and rate them for varying circumstances. Really good point and shoots are not a lot of cash and get as much as you can afford.
Once you are able to go the dslr route, if that is what you want, the cash outlay can be fairly large (relatively). However, top line cameras and lenses hold their value very well. I recently sold two decent (not great lenses) on ebay for about 90% of their new value and I see cameras similar to mine selling in that range, too.
One thing is for sure, birding is very difficult photography, particularly birds in flight. You can never have a long enough lens 