Steven: I make slide shows and videos for my 75" Sony 4K UHD smart TV. The shows are saved now on a memory card plugged into the USB jack on the TV for instant showings. I used to save them on DVDs but theyl;ve gotten too long. They're all on that same card which the TV can select with the remote. There are set profiles (about 8 on mine). But these can each be adjusted to my preferences. You can select one of them for slide shows and set the preferences to your liking to use with slideshows.
Scanned slides are great as are digital pictures. I never had a digital projector so I can't tell you which is better. But the LED TV is great and convenient. I create videos for my still slide shows because I can add in music, narratives, titles, credits, etc to make it into a real "show", not just a still slide show. That makes them more entertaining, especially for visitors, who don't seem to want to blow their brains out anymore having to watch my vacation shots like in the old days with a slide projector.
I will say that my calibrated NEC monitor displays the colors the best. But there's nothing like watching your stuff on a 75" screen with speakers playing appropriate music that's synced. I also keep some selected video slide shows on YouTube so others can seem them on their monitors, cellphones and TVs. Here's the links if you're interested. The scuba show was scanned 35mm Ektachromes in 2K, not the best. The BW (Fire Brigade) is 35mm Tmax 400. The others are 2k and 4K (Regency Muscle Car) digitally captured originally. I don't know how I wound up with two YouTube accounts. There's a combo video clip and still show (2K called Regency Men's Club at Fire Academy).
If I can make one suggestion. When you upgrade your TV, buy one that's at least one size larger than what you figure you need because after you buy it, you're going to complain that you should have gone bigger.