Hi, Mike. The type of connections to make depend on what your TV can accomodate, what your DVD player can output, and what your receiver can handle.
In terms of video quality, here's a list from better to worse: component video, S-video, composite video. I've used S-video for years on my JVC TV because it doesn't have component video. You can route the video from the DVD player through the receiver or connect it directly to the TV - it depends on your preference. I route mine through my receiver so that I can switch the audio and video sources by just switching the input on my receiver.
For audio, you'll likely want to run a digital audio connection (either optical or coax) from the DVD player to the receiver. If you are using your TV for sound (and not a cable box or satellite receiver), then you're probably going to want to run analog audio (left/right RCA connections) from the TV to the receiver if the TV has those outputs. I doubt that your older TV has a digital audio output, but if it does, that would be the way to go.
That's just a start. Again, the specifics will depend on your system. We can give you more info and help if you let us know more about your system and its connections.