Allow me to demystify a few things ...
For receive purposes, chokes are generally most effective at the receiver input basically choking out interference picked up along the coax's braid.
Chokes at the antenna input are generally installed when this is a transmitting antenna to prevent RFI due to the high current that can occur at the antenna input from the transmitter's RF output. As you will see in the example below, there are also some benefits to a receiving system.
The best approach to identifying and eliminating interference is to look at it in a "source" and "victim" perspective. For my example, I will use the proverbial and nasty switch mode wall wart we all love --- because of the lack of EMI control in North America which allows for junk to be imported. So, "Nasty" (the source) is generating interference and somewhere along the line this is being picked-up. Who is the "victim"? The antenna or the receiver? Odds are in this case it will be the receiver and that Nasty is located somewhere inside / vicinity so we will install chokes at the receiver input. Now, let me throw a curve ball into the mix (no pun intended). Nasty is located outside. Who is now the victim? Odds are in this case that it will be the antenna therefor chokes located at the antenna are appropriate.
If you have more than one antenna, definitely, chokes all around. Here is why. Using our previous example, Nasty is generating interference into antenna A (which now becomes the source). Antenna B, C and D have now become victims as they are receiving Nasty's interference emanating from antenna A. Hopefully antenna A is a nice full size dipole with 3 dB of gain so that Nasty's interference gets well splattered across the entire neighbourhood. The same goes if you have an antenna switch. Nasty on one coax will travel through the antenna switch making all the other antennae victims.
different mix cores as that will give you wider range as far as freq goes
Absolutely, but again, look at where the interference is. For example, there would be no reason to install a MIX 43 if the your interference is bellow 25 MHz. A MIX 31 should have you pretty much covered. If you are going to play in the VLF and LF band, you might consider a MIX 75 or combination there of.
Palomar Engineers have a great table on their
Ferrite Mix Selection page:
https://palomar-engineers.com/ferrite-products/ferrite-cores/ferrite-mix-selection