The first step is to vacuum/sweep your floor thoroughly.
The 2nd step is to clean it with vinegar water or your regular choice of cleaner. Make sure you rinse the floor if you are using a lot of product on it.
Next you use this product that I am recommending. Rejuvenate Floor Refresher.
I used a Shmop, or a long handled flat head mop that holds a Microfiber Cloth that has elastic around it to apply the Floor Refresher. You just spray the area, go over it once with the mop and then let it dry for a good half hour. It's a really nice shine that lasts and is safe. I give this product 2 thumbs up!
I found it at Home Depot, the spray version was $8.96 and the concentrated bottle was $19.88. It should last you a long time! The link below has pricing on it but your local Home Depot Store carries it to save you on the shipping. I did note on the bottle it says this product is "Great for Newer FLoors" I think that this is to be used with caution with old wood floors.