We do not recommend specific TV or projector models, and each has its own advantages. For example, TVs are brighter than a projector displaying on a fabric screen, but a projector and screen are easier to transport to and from a courtroom than a large TV. Something else to consider, TVs are usually 16:9 aspect ratio while a projector is usually a 4:3 aspect ratio.
Some modern TVs have the Apple TV software built in so you don’t need to use a physical Apple TV, but many people prefer to set up and use a physical Apple TV and then plug it into whatever output device isn at the venue where it will be used. This allows the user to travel with the small Apple TV device, and have the same settings and a sense of familiarity with how things will work. Please see this tutorial video on selecting the right options for your Apple TV: https://support.litsoftware.com/hc/en-us/articles/1500000218521-VIDEO-Apple-TV-Settings-for-Trial
For projectors it should have a minimum of 5,000 lumens for the brightness, be LCD technology for the color clarity (DLP projectors show yellow highlights too dark), and have an HDMI input in addition to a VGA input. Epson brand projectors hav been very popular with our customers. For the fabric screen to use with a projector, the Da-Lite Deluxe Insta-Theater portable screens are relatively light and set up in a few seconds. The 48" x 64" size (80" diagonal with a 4:3 aspect ratio) or the 44” x 78” (90" diagonal with a 16:9 aspect ratio) are good sizes for most courtrooms.
If you are not presenting wirelessly using an Apple TV, you will need the appropriate Apple adapter to connect your iPad model to the appropriate HDMI or VGA cable, and then connect that cable to the TV or projector. Make sure you only use Apple branded adapters as we have seen issues with generic adapters sold on Amazon.