I have reworked dozens of 10/22's and if you are keeping the stock barrel, the very first thing you do is ditch the barrel band. I mill/saw off the part of the band that goes over the barrel and leave the two halves clamped on the wood if the 'carbine' look is what you're after. The triggers are easily stoned if you know what you are doing. I did JAYB's 10/22 rifle in about 20 minutes sitting at my kitchen table. Do not be tempted to trim springs in order to get a lighter pull.
If you are not confident in doing the trigger, buy a trigger assembly. I like Green Mountain barrels and they make one that fits the issue Ruger stock. Very accurate, air gaged and available in the UK.
Next hint: Keep the magazines clean. The more subs you shoot the dirtier the mags get. An ultrasonic case cleaner will get the job done if you don't want to disassemble the magazine.~Muir