I've got Arduino Uno doing everything I set out to do for my battleship: multiple Leds, servos and neopixels are all working together and timed without any problems in a combined sketch.
For some background, I have no electronics knowledge what so ever, I have zero programming or computer skills, and I am not technically inclined in any way. I learned the difference between the black wire and the red wire a few months ago. Basically, I am the one who just calls the tech guy for everything, if you know what I mean.
So if you can figure out the + and - on an LED, you can easily figure out how to use this stuff.
The Uno itself is a breeze. Very stable. No computer glitches. It does everything the guides tell you it does and you don;t need any programming knowledge to run pre-made sketches and edit them to your needs.
The Adafruit Trinket on the other hand is a different story. With my zero programming skills, I have faced a lot of hurdles and problems with it. Its slow, it needs to bootload, its finicky. I am not saying its for experts only, and I am not giving up, but there is a big difference on user friendliness compared to the Uno.
So if your interested, go for it. The Uno will work.