You can mix Talstar P with Precor IGR for flea control. According to the new Talstar P product label you can make applications as spot or crack and crevice treatments to areas frequented by pets, such as under bedding, rugs, next to furniture. Vacuum prior to treatment.
What this means is that you cannot broadcast spray your entire carpet with Talstar, you must limit the treatment to "spot" treatments (areas that 2ft x 2ft or less). If you only need to spot treat certain areas you can use Talstar for fleas. If you need to broadcast over entire carpeted rooms you should choose a product which is labeled for indoor broadcast sprays such as Onslaught or Permethrin SFR.
There is no real reason to mix both Talstar and Cyper. They kill pretty much the same insects. One or the other would most likely do the job.
The best general pest control can depend on what region you are located in. One of the all time favorite general pest control products is Talstar P. Talstar has a long residual, so it keeps on killing pests for over three months after you've sprayed it. Plus, Talstar One is odorless, dries clear, leaves no stains, is non-irritating to the skin, and won't break down easily with rainfall. Also for roaches, you want to use a bait like Maxforce Impact, Up in areas you are not spraying Talstar. Please see the roach bait placement guide, as well.