There’s about a million options for a slider out there but I would personally not use any of them for just a previous and next button. All else only bloats your code and will slow down the website. It’ll also make make it hard for myself to help you out if anything’s not working right with it.
The basic markup would only need parents (that are already there) with child elements that are all hidden but one. A minor amount of code is then needed to add the desired functionality you described.