Isabel,
I don't know much about digital cable, so I'm going to offer a couple of suggestions. First, though, I have a comment about the Philips. If you are getting the DVDR3575H/37, then you might want to do a firmware update. Check out this
link for info. If you choose to do the update, there are some steps not in the directions that I'd be happy to help you with. I just walked my father through it last week.
Now, for the suggested connections assuming that you're getting the Philips DVDR5375H/37.
Suggestion 1
If you don't get any pay movie channels, then you might be able to get away with not using the cable box (again, I don't know much about digital cable). So, here's my first suggestion:
1. Simply replace the cable box with the Philips DVDR and use the existing connections. Connect the cable from the wall into the new Philips DVDR using the Philips' "ANTENNA IN" jack, and connect the Philips DVDR to the TV using the three red/white/yellow cables using the Philips' "AV OUT" jacks.
2. When setting up the Philips, be sure to have it do its automatic channel selection using the "Cable (Analog/Digital)" selection.
Suggestion 2
If that doesn't get you all of the channels that you want, then I'm assuming that you'll need to use the cable box. You'll want to keep the cable box connected to the wall exactly the way that it is now. You probably have some choices as to how to connect the DVDR and TV up to it. To help you with that, it would be very helpful if you would tell us the brand and model number of the cable box so that we can look it up and check out the available connections.
Sorry for suggestion 2 ending so quickly, but I realized that there are a number of possibilities and I need to get going at the moment. So, please let us know the info on your cable box, and I'll respond.
Adam