As long as both product labels are followed with the more restrictive one taking precedence, yes, Bifen IT can be tank mixed with herbicides.
As long as you follow instructions for each product, yes, you can tank mix Bifen IT with a fungicide.
Bifen IT should not be applied to any edible vegetation. You should not apply this product on a windy day or where wind drift may be a possibility if fruit trees or vegetables are nearby. Any treated vegetables or fruit should be discarded. You should not consume anything in the area treated for one full growing season.
Bifen IT is not designed to kill on contact and even when you spray an insect directly it can take several minutes or longer to kill it. It will help to kill the ones that contact a treated surface as well as their food source, but how long it takes to kill after application depends on age and health of the insect, how long after application they contact the treated surface and how long they spend on the treated surface. Spiders themselves are harder to kill as they do not groom themselves and have the long legs to keep themselves off the ground and in more contact with a treated surface. We have a great guide here for treating spiders that might also help. If you are going to be spraying spiders directly each time, you could add a product like ExciteR to Bifen to give it a faster initial knockdown only.
Generally, after an application of Bifen IT it should take anywhere between 30 min - 1 hour to dry. After the treated area has completely dried it is safe for the pets to re-enter.
Bifen IT is not a contact kill product, it is a residual product that can take a few day to start killing the fleas or other insects that you are treating for. You need to give the product time to do what its designed for. If the infestation of fleas is extensive then you may treat again after 7-14 days. It is recommened to treat your dog, as well as treat the inside of your home. Continue to clean, wash and vaccum daily till the infestation is under control. Please take a few moments to review our Flea Treatment Guide for more information.