Rifle cleaning 101 - school me!

Have been a pretty casual cleaner to date, generally just a bore snake with cleaner on the bristles and then lube on the tail. Maybe a rod and patch if I have been at the range. Having recently bought a 7mm rem mag figure I should up my game. Typically low round count hunting use but enjoying the extra distance it offers so be good to keep it shooting well.

What is the forums brain trust recommendations for a cleaning routine that balances convenience with keeping the rifle performing as it should? Any one stop shop cleaning kits recommended - I probably should update the hodge-podge mix of gear I have accumulated/inherited over the years.

Cheers!