I have this skimmer and I just attached it to my existing system. I have a BestWay pool with two pool outlets. One gets used on the skimmer and the other one is just a regular strainer outlet. Does your pool not have two outlets?
I would imagine you'd be fine on circulation if doing the wall-mounted skimmer on a single outlet. In fact, it'll probably be more effective than the dual outlet setups as most of those (including mine until I upgraded to a bigger pump) usually require a flow reducer on the non-skimmer attached outlet. I don't think you'd have the need to run a separate pump just for a skimmer.
This is the same as the intex pool scimmer, bot for open water. https://www.amazon.ca/Intex-Deluxe-Mount-Surface-Skimmer/dp/B00178IMPO/ref=asc_df_B00178IMPO/?tag=googlemobshop-20&linkCode=df0&hvadid=293033937262&hvpos=&hvnetw=g&hvrand=4283539969064726753&hvpone=&hvptwo=&hvqmt=&a...
I’m a novice to owning a pool but I have about the same size as yours. We shock ours once weekly and have a chlorine float that we put one tablet in, that usually lasts us a little over a week. I was having some issues getting my chlorine levels in the ideal range in the beginning until I added a double dose of the recommended shock. Now it seems to be doing pretty well. We use one of those chemistry kit looking tests for our chlorine levels and I just purchased a skimmer to help cut down on the debris that sink to the bottom but I’m still waiting on delivery.
There is this:
https://www.amazon.com/Intex-Deluxe-Mount-Surface-Skimmer/dp/B00178IMPO/
It attaches to the pole no need to cut the liner.