I'll provide you a bit of insight into how I'll think about this.
First, given the assumption that you want to record cable from the cable box on both your DVDr/VCR and the TiVo, you're going to have to have some way to get two outputs out of the cable box. That's why I need to know the model number of the cable box. Sometimes they have multiple outputs, themselves -- using multiple outputs from the box itself is always going to be better than the alternative, which is introducing a coax splitter between the cable box and your recorders.*
Note that the cable box will ever only put
out one channel. This means that, given the configuration I outlined in the previous paragraph, both of the recorders will get the
same channel -- whatever the cable box is currently tuned to. If you're wanting to record two
different channels, one channel on the DVDr/VCR and a different channel on the TiVo, at the same time, you'll either have to rely on what the recorders can record without the cable box (connecting one of the recorders directly to the wall), if anything, or you'll need to get a second cable box. **
With cable service now fed into the two recorders, the challenge will be hooking them each up to the television. Unless your television is very old, or was very inexpensive, it will have a variety of inputs. Similarly, the recorders generally have a variety of outputs. We'd exploit this to hook the DVDr/VCR up to the television using one type of inputs, while hooking the TiVo up to the television using another type of inputs.
Anyway, let me know the model numbers and we'll continue on.
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* Just a note about splitters. In this case, we're using a splitter to split the signal coming out of a cable box. Essentially, it's just one channel, either channel 3 or channel 4 -- either 60-66 MHz or 66-72 MHz. As such, we don't need a high quality splitter, like you'd find elsewhere in your home, on a run that may lead into a cable box. Splitters that are introduced before the cable box are generally not available at your local Radio Shack. Unfortunately, the best source for high quality splitters is your cable company, but they may only offer to provide you one if you call them out for a service visit (for which they might charge you). If you do go looking for one on your own, don't expect it to be cheap; You probably can find a good one for $8.50 if you are lucky, but generally it's a $15-$20 item. My imperfect rule-of-thumb is that if it is gold, then it is crap.
Anyway, that's not the kind of use we're making of the splitter, so we don't need one of the really supreme ones.
** Note that in either of these scenarios, you will have to split the cable coming out of the wall before the cable box or boxes, so in that case you will need the super high-quality coax splitter, that I discussed above.