2 things to seriously consider:
what is on the carpet that gets it so dirty?
what is on the furniture that you need to clean the upholestery or scotch guard it?
We do not wear shoes in the house. Shoes stay in the garage or we take them off once in the door and carry them to the closets. If feet are cold, we were slippers or socks, but the slippers and socks never go outdoors as footwear!
You would be amazed how much this helps.
Also, food & drink stays in the kitchen. No exceptions. OK, one exception, sick people are allowed to take water bottles to the bedroom.
We had cheap carpeting for years too. We upgraded and replaced all the carpeting 3 years ago. Better quality carpeting makes a big difference.....but you still have to keep the shoes and the food / drink off it or it will look trashed out, too.