You can't go wrong with the SM58. It's the standard for wired mics.

I prefer wireless mics for karaoke. For a little more I would suggest this. https://www.amazon.com/dp/B0749L15PF

I use this and they work well

The mixer looks to be OK. It does have all the features you need. Although it's an entry level device with very little reviews so it's hard to know how good it is.

If you're interested in the M4 you might want to consider this version which includes wireless mics. I don't have any experience with it but it does have free returns.

https://www.amazon.com/Professional-Wireless-Bluetooth-Interface-Recording/dp/B0B3TFQ1RQ?th=1