The two basic problems you may encounter are - ground loops and disparate signal levels.
If the circuits only share one common ground point, then the first problem cannot occur. This problem is usually the result of two or more circuits being connected to the mains earth as well as via the signal cable. If it happens, you will get an annoying mains hum coming through your amplifier.
The second problem is more obvious. Generally, you can expect signals like you are talking about to be around 500mV - known as "line level". This has been a pretty standard audio level for decades - although some early CD players pushed out 1V or more. However, if you are picking up a signal from a speaker connection, then the level could be significantly higher. If you have different types of signal source, you might have a problem with volume differences when you switch between sources - and the higher level source might overdrive the amplifier and cause distortion. If there is this sort of disparity, then you could try adjusting the output volume of each source (if possible) to bring them to roughly the same level. (You don't need a meter for this - your ear is quite capable.) If there is a higher level that can't be adjusted, then a resistor divider can fix that. If there is a low level signal that just doesn't cut it, then you will need a pre-amp.
HOWEVER - the above is just to cover some possibilities. In all probability, you could do a simple hook-up and it will work fine.