Well for my stocks I use Johnson's paste was for furniture. Comes in a yellow can about the size they put car wax in. A can will last for years.
http://www.walmart.com/ip/SC-Johnson...e-Wax/23142990
For any dirt and grime a DAMP soft cloth and dry or just a soft cloth.
But for your Browning you can just use a little furniture polish spray on a cloth to clean it up. Those Browning have a heavy finish that is extremely tough. You'd realize that if you ever tried to refinish one. The only way I could get it all removed off my old A-bolt was by scraping with different shapes of glass shards. I wouldn't even come of with a furniture stripper!