Next subject Trigger jobs can do more for accuracy than you might think. These days the factories are shipping guns with trigger pulls of five to eight pounds. Winchester and Remington triggers can be stoned and adjusted to good hunting weights. There are aftermarket triggers available for most actions these days. Pull weights with these triggers vary according to the manufacturer and or model chosen.
Group size can be greatly reduced by a good trigger, just ask a bench rest shooter.
Next Subject Bedding varies a little from one action to the next. The best method is to free float the barrel and bed the action. This can be accomplished a few different ways. The other options are pillar bedding and glass bedding. Pillars are made from metal usually aluminum, the purpose is to add a support to the stock so that it cannot be crushed by the action screws.