Welcome, Joel!
Keep your pump running as long as possible, until things start freezing if you can. I have a waterfall and left it running until temps got really cold and had to worry about ice forming and redirecting the water. I also unhooked my waterfall/filter/skimmer and left the pump running shooting toward the surface to keep a spot open on the surface. The bad thing about doing this is that the makes the water colder, circulating the colder water at the bottom. The good thing is that it helps to keep a hole. You can also use air bubbles to keep a hole. That works unless it gets really cold (which is typically does here in IL, although not last year ...). I let my pond "sleep" for about 2 months last year, only turning the pump on after I used a floating heater to melt a hole in the ice, then used the pump to melt a larger hole. It's ok for the ice to form, as long as it doesn't stay frozen for a long period of time. That's why I opened up a hole and allowed the gases to escape. Some say air makes the algae grow in the winter, but we all know that the fish need oxygen to survive. Keep in mind that fish in local ponds survive just fine when the ponds/lakes freeze solid for months. The difference is the volume of water vs. fish in that large body of water compared to the small body of water you have. Ten fish is a good number for the size of your pond. You should be just fine.
With feeding, quit feeding when the water temps go below 55 degrees and stay there. The fish will eat algae from the sides and bottom. If you do feed, do as Sissy says and find food that is specially formulated for early spring or late fall feeding.
Netting any leaves helps keep muck from accumulating and having to be removed in the spring. Sounds like you have that figured out already.
Go to any pet or pond store and they will inform you about dechlorinating your city water. It's a very important step to keep your fish alive. Also, make sure you don't turn your hose on to top off the pond and then leave it running and forget about it. Sure disaster pending!
One more hint someone here taught me is to never rinse your filter with city water, as it will also kill the good bacteria that has formed in the filter media. Use some of the pond water in a bucket to rinse it in. I have well water, too, so don't have to worry about the chlorine. I don't clean my filter media at all during the summer. When I get ready to shut things down, I'll drain the filter and rinse all the media out really well. Otherwise, I leave it, as the "good stuff" is more important than worrying about the muck that is forming in the bottom. I have a large garbage can Skippy Style filter, though, so no yuck gets into the water once it's pumped into it.
Good luck! We would love to see pics of your set up, and congrats on buying a house WITH a pond!