How to get rid of bug bites?

Treat appropriately: I suspect that the bugs are no longer around and that you had reactions limited to the skin. You can use OTC antihistamines, such as cetirizine, fexofenadine or at night diphenhydramine. You can apply cold compresses, and then a "cocktail" of Sarna with pramoxime (good anti-itch lotion) with hydrocortisone 1% 2-4 times daily. If this treatment does not help, see a physician.

Exterminator: If there is a bed bug infestation, then it may be best to speak with a local exterminator to help define the extent of the problem and offer some suggestions.

You can't: Once the big bit you, you can't get rid of it. However the bump from the bite will go away eventually most of the time. Applying a cortisone cream on it usually hastens the healing.