I am new to the air gun stuff too. I got a p-rod (Marauder pistol). It is an unregulated 22. So far, I like it. I thought firearms were a deep rabbit hole, but airguns seem at least as deep?!
Depending where you read, 177 is plenty for squirrels but 22 gives a bit more 'forgiveness' in shot placement. It always depends on stuff like range, surroundings, local rules, etc, but 25 sounded like it would be overkill. That is in the pistol version. In the rifle version, again from what I read, 22 should be good out to a couple dozen yards. If you use slugs instead of pellets for better BC, likely farther.
I got a hand pump for the p-rod. Since the tank on the pistol is pretty small it takes some work but nothing bad. I put previous beers to work pushing down the pump handle. ;) The rifle tank might get you looking for a tank to fill from or a compressor. Not that a hand pump is 'un-do-able', especially if you top up often, but filling from empty might leave you wishing for wind sprints.
There are a couple airgun forums that are more active than here. Gateway to Airguns has a LOT of info and members happy to opine. Airgun Nation is another good forum. Pyramyd Air and Airgun Depot, the same companies IIRC, have some decent videos. If there is not a good local airgun shop, if PA and AD are running sales, sure, but there are a number of others who are said to give better service and better prices. Airguns of AZ was the best pricing last I checked, even without free shipping.
Regulators as I understand them, are used to level out the shot velocities. You can set them to get more shots from a fill or to get more consistency in fewer high power shots. In either case the hope is the POI doesn't move around much since the velocities are similar. I get the idea, but shooting the p-rod at the inside 20 yard ranges I expect to use it, I don't see much POI shift as the tank depressurizes over a couple dozen shots. Does it move? Yes. Enough to matter?? There are aftermarket sources and home brew solutions if you decide you gotta have a regulator later, if you decide to try unregulated first.
Either PA or AD had a 'chooser' where you put in your desires and they select the 'best' options. Among those desires was noise. I thought it wasn't definitive, but it sure narrowed things down a lot.
Also regarding noise, it may or may not be legal to get a 'moderator' to quiet your airgun. Do your own reading. If the PTB disagree with your legal opinion it can get pricey. Also subject to local rules...
Hope it helped.