Just about any 1 gallon pump sprayer will do. We prefer the Chapin Premier 1 Gallon Pump Sprayer 21210XP because of the brass construction in the shutoff valve, wand, and nozzle. The nozzle is adjustable and using the pin stream spray would allow you to spray through a hole in the wall. All of the parts are replaceable when they wear out and when cared for properly will last for many years. You may want to look over our How To Do A Termite Treatment article to learn how you can protect the rest of your home against termites in the future.
Termidor SC can kill sugar ants when used outside around the perimeter of the home but these are not actually a species of ant. It is just what ants that are looking for a sugar/carb based food are called since they go for sweets. We would suggest using either the Indoor or Outdoor Ant kit depending on where you are seeing activity.
Sugar Ant Products/Kits
How to Get Rid of Ants Treatment Guide
Termites do not normally attack live, healthy trees so you most likely will not find any products that will work as a ground barrier around the trees. Most people are primarily concerned with protecting the big investment, their home, and Termidor SC would be the product to use for that. It is only labeled to be used adjacent to the structure though. Please take a moment to read over our article on "How to do a Termite Treatment" for complete details.
To treat areas with Termidor SC that have a soil to foundation interruption such as a patio, you would drill holes in the patio using a ½ diameter concrete drill bit that is 18-24 inches long. The holes will be drilled every 12 inches and filled at a rate of 4 gallons of finished solution every 10 feet, just like you were doing in the trench.
Termidor SC does not bond to mulch the same way it bonds to the soil. When applied to the soil per label instructions, it will bond with the soil to remain effective for up to 10 years.