For my in line I use BH 209 powder and Thor all copper bullets. My cleaning process is the same as my center fire rifles. Also remember to clean your brushes and jags with break clean so they won't leave a false impression of a dirty barrel.
I use the orange WW fluid. Works great for me, lately I have been using Shooters world Multi Purpose Black and it cleans up pretty easy.Any ever try windshield washer fluid?
Clean my cap locksx2 and .50 cal mtn pistol like that.......Hot water soapy Dawn and brush brush brush rinse with very hot water air dry the light coat of oil or better T/C Bore Butter.