Nice little rifle. I'd use 2 pellets, and the Rem primers will be fine for those. No need for 3 pellets.
Be sure and swab between shots, T7 will produce a pronounced crud ring.
You can use water to clean, I use TC #13 bore cleaner in my rifles that don't use BH209. Works just fine. In any of my rifles w removable BP, I push a dry patch through the bore from the breech before I start cleaning. Knocks down the heavy fouling, then I clean from there.

Good luck with your new rifle smile