Good, but how many of each, and how many antenna inputs? (It might be easier if you provided the brands and model numbers of each of the components, including the TV.)
With three signal sources, you might be best off buying an A/V or home theater receiver, if it’s within your means. Trying to hook up these devices straight to the TV is likely to be a little cumbersome and not provide the highest picture quality for some of your components. But it may be possible
To start, you will need an RF splitter to split the signal from the aerial to the VCR and the TV (and possibly the DVD player and satellite STB, if they have antenna inputs).
You will want to decide which of the components you watch most, and which is your top priority as far as picture quality is concerned. The order of picture quality from the various types of connections is (from highest to lowest):
HDMI/DVI (digital, rectangular multipin connector)
Component (analog, 3 RCA jacks, red, green, blue)
S-Video (analog, circular multi-pin connector)
composite (analog, RCA jack, yellow)
RF (analog, F-type connector)
Obviously, you have to have the same type of connector at both ends,* so the kinds of outputs the components have and inputs the TV has will determine how you can connect them.
If you watch the satellite the most and it has an HMDI or component output (assuming the TV has a matching input), use that to connect to the TV. Then connect the rest using the remaining inputs according to their priority and the quality of picture the input will provide. Under this plan, the DVD might be connected with an S-video or composite cable, and the VCR would probably be connected to one of the TV’s antenna inputs. If so, you’ll have to tune to channel 3 or 4 (depending on which in not being used by a local broadcast station) when watching it.
There are more possibilities, but this should get you started. The list of your hardware details will help us find the best setup, as will your willingness to consider a receiver, and the amount you could spend on it.
*It is possible to get converters for some of them, for instance HDMI to DVI or vice versa, and s-video to composite.