I personally have a fear of grasshoppers so i totally know what you are talking about when it comes to the lil buggers getting in your house. I don't know any other way of dealing with grasshoppers in the home unless i throw a shoe at it and throw tissue paper over it so that when someone gets home they can deal with the thing.
As for ants though, I have a great thing that can help (as long as you don't have pets and if you do keep a good eye on them so they don't get into this...) Its okay to have fears, but may bring you peace once you have done this.
Whenever I have ants in my house I like to mix Borax (laundry detergent) with icing sugar, add enough water so it becomes like a paste. set it on a lid of some sorts ( margarine container lid (Something that an ant can fairly easily climb onto) or if you dont have something like that you are willing to have the ants crawl on use a food wrapper (the sweeter the better) for ex. a popsicle wrapper. Put the paste in this and set it near where you have seen the ants coming from or going to ( where there is one there are more) they will pick it up and carry it back to its colony (will feed the queen and within a few days you shouldn't see ants at all (they will have all died! yay!!)
Hopefully with knowing that it can help control your mind cuz you know where they will be heading to and it may get to a point where you see a whole line of ants but thats perfect the more of them carrying it the faster it will kill everything off... plus you will then have a better chance of knowing exactly where they are coming from
Hopefully this helps