Turning a compost pile is critical as it allows oxygen to reach all parts of the pile and enables the breakdown process to work effectively.
By turning the pile you will also be able to see if the pile or bin is too wet and you can make adjustments as necessary.
It is fine to use a shovel or a pitchfork to do this and as a bonus it will give your arms a pretty good workout as it can be hard work.
A compost aerator will definitely make the job easier if you are using a static bin. It is hard to turn the contents inside a static bin. I have in the past emptied out the bin, turned the contents and then put it all back in but this is a big job.
If that’s fine with you, no problem.
A compost turner or aerator and there are several on the market is good for a static bin as it just makes the job easier. You can read more about compost aerators here. Ideally borrowing one would be a good way to try before you buy.