Most of the capacitors in Falcon are axial - those that have the leads in one axe. Additionally, there is one radial leads capacitor 220uF.
So you are basically looking for axial capacitors of the same capacity value as original (in uF). The other important parameter is rated voltage, all of them must be rated at least 16V. One exception is 4700uF filter cap, you will most likely find "small" enough rated to 10V only, this is still fine. In theory, 6.3 is still OK, but I do not recommend it.
Third most important is that you need to take in account is capacitor dimensions: the higher capacity/voltage the bigger the capacitor. You want to pick one that fits in its particular spot. Ideally, same size as original, or smaller. This already is going to be tough call, as you will soon realize axial cap selection is very limited, compared to radial.
If (and thats a big if) you still have options to choose from, pick one with longest lifetime (in ths. hrs)
To save you some trouble you can check out the list of capacitors here: https://centuriontech.eu/product/atari- ... citor-set/
Edit: forgot to mention: get a good, reliable brand: Vishay, Nichicon, Panasonic.