Talstar P is mixed at the rate of 0.5 to 1.0 fl oz per gallon of water, so a gallon of the Talstar will make about 128 to 256 gallons of solution and will last up to 90 days depending on where it is applied. Each finished gallon of solution covers approx 1000 sq. ft. Inside applications are limited to just cracks and crevices, along baseboards etc. Outside you would apply 2 to 3 feet up and out around the home, around window and door frames, and other potential entry points. You can choose to spray the lawn for further protection or just around the perimeter. Please refer to the product label for complete instructions on any target pest.
What you are describing sounds like springtails. They are common in bathrooms and kitchens because they can breed under the slab and follow plumbing pipes and drains into your house. You should google springtails and see if this is your issue. If it is, Talstar Liquid is considered one of the best treatments for springtails to control them, but honestly you will not get rid of the problem no matter how many products you use if you cannot find the source. The whole key to getting rid of springtails is their breeding source. You have to find it. Usually they breed under the slab and enter the home through small cracks. Unfortunately when they breed under the slab the product you apply on top of the ground like Talstar will not make it to them. The slab has to dry out and you have to do whatever you can to prevent moisture from getting under the slab. Usually springtails are breeding because of too much mulch around the house, grade against the house is not going away from the house and water puddles up, downspouts are not going away from the house, etc. Getting rid of springtails is a moisture management issue usually and not something that pesticides can get rid of alone.