A few things to consider. A trigger does NOT improve a rifle's accuracy. It does make it easier to shoot more accurately, or as Drover said, more shootable. If you do a good job of controlling a bad trigger and get bad accuracy, no trigger job will make it accurate. I have a Ruger 10/22 magnum that has the second worse trigger of any gun I own. I can still get 1 inch 5 shot groups at 100 yards with it.

Ammo can make a HUGE difference. Don't write off a 22LR until you have tried several varieties of quality ammo.

For those who aren't real handy, a barrel and a stock are good starting points. I don't love Hogue stocks, but they are cheap and based on my sample size of 2, they are pretty darned good. Shaw Barrels aren't the best, but they can be had for $150 and they too are very good. A drop in trigger assembly, like the BX, is easy to install and makes it quite a bit easier for you to shoot your rifle's best.