There are two places mites attack. One is on the honeybee itself (called "phoretic") and the other is in a cell on developing brood.
There are two main kinds of chemical treatments: Formic acid, and oxalic acid.
Formic acid kills mites in the brood cells even after the cells are capped, as well as the phoretic mites. It can be used when there are honey supers on (the vapors will fill the hive, so it's important to know if your treatment is safe to use when there is honey in it). It's easy to put on, doesn't require any special safety gear (any more than you'd wear when you're dealing with the bees), and is reasonably priced.
But. You knew there was a "but," right? There is an upper temperature limit of 85° F for at least the first week, and ideally the entire 14-21 days. Well, that ain't a'happenin' thing right about now in most of the country. If it's above that temp, you risk killing bees with the vapors and if you kill the queen, you have a new problem.
The other treatment, oxalic acid, does not kill mites inside of capped brood cells, so it only gets the phoretic mites. No temperature restrictions. But (this one has a "but" as well), you shouldn't use it with honey supers on. Or, it's ok with honey supers on. Depends on who you ask. Clear on that? Depending on how the OA is applied, it is either fairly simple and inexpensive, or expensive and you need a respirator.