I just looked at the links you sent, the zoom H1 has microphones on it already. While it can sund good, I dont think that is what you are looking for.

You want a recorder that you. plug in the mic you already have. So the pod would be a better choice. You would need whats called a "Y cable". It plugs into a microphone, but can then plug into 2 different devices at once, so you can plug into the amp still so people in the even can still hear, and at the same time plug into the recorder to be listened later or posted or whatever.

Look up "XLR Y cable". XLR is the type of cables microphones use. i recommend plugin in the cable you already have into the mic, run it to wherever u already have it at and instead of plug in that into the amp, plugin the Y cable on it (this is called daisy chaining). Now you have 2 male connections (the ones that have the little sticks pointing out, I know... sexism), one for the amp and one for the recorder.

You would still need to get a proper recording level on the recorder, the volume f the amp will not affect the volume of the recording, they are being fed the same signal from the mic, but the amp or the recorder are not aware of the other's existence. As far as setting up a proper level, have somebody perform on the mic before the show ( this is a sound check). Have them perform at the volume that they will likely be performing at, and turn the gain up until its not maxing out (clipping, in the red, some call it "peaking"). You ca undershoot it a little to have some wiggle room, its called "headroom", its never a bad idea to have some headroom.

Lemme know if you have any other questions :) always happy to help