Vysor is a program I like because it works with Android and iOS and has wired and wireless options. Of course, what I like most is that there is a free option. You are limited to the wired option in the free version, but I actually like that because it glitches less. Plus you don't have to worry about the devices being on the same wifi network. I also like that can use your computer mouse and keyboard to control your phone. One thing to note is that you have to enable USB debugging on your phone. Here is a quick article on how to do that.
The free version will display a short ad every half hour or so. If you decide to upgrade, in addition to removing ads, you will get some other features that include fullscreen mode, drag and drop files and the ability to share your screen with someone with the link.
