Suggestions for a $100 Budget
For this budget I recommend purchasing 5-6 bottles of base liquor. You can also get two bottles of bitters. Or you can swap out one of the bitters for some dry and sweet vermouth (this needs to be refrigerated after opening).
A few recipes you can make (in addition to the recipes above!): With Whiskey you can make a Whiskey Sour, a Manhattan and an Old Fashioned. With tequila you can make Margaritas (in about 1 million different flavors), a Tequila Sunrise and a Bloody Maria.