Camcorder

You could just put an iPhone or iPod on a tripod

We used an iPhone to livestream and record our ceremony. Most tripods have an attachment to hold phones these days.

If you have a Walmart or best buy or target then you can go and look and get help with that on which one will be best and not to pay a sticker shock prices.

Highly recommend going to a camera shop to ask them what qualities to look at. They can make recommendations based on budget, needs, recording distance, pixels, and so on. You don’t have to purchase from them if you don’t want to, but it’ll give you the best idea of what to search for