If a warm weather getaway sounds appealing, consider seeking the sun in Cartagena where summer is approaching. The South American city offers history, Christmas spirit, and unique gifts for holiday shopping. Sun-drenched Phuket, Thailand’s popular island, is a place to relax during the day and party at night. St. Bart's in the Caribbean is recovering nicely from hurricane damage, an ideal spot for a winter vacation. Miami’s December weather is perfect for a warm Christmas, and Art Basel, early in the month, is an exciting time for fans of contemporary art. In Santa Barbara, a few days of pampering might fit the bill, or you can join in their holiday festivities throughout the month. Death Valley, in the middle of the Mojave Desert, offers a respite from the crowds and a chance to enjoy quiet days and starry nights.
The three places that jump out to me are the Playa del Carmen area just south of Cancun in Mexico, the island of Puerto Rico, or Costa Rica. All of those have endless beach activities and sights and great food and everything else, and they are all well within your budget. Puerto Rico would be easiest, and probably my first choice. Costa Rica is better known for adventure activities that might suit the younger ones. There are several good resort areas along the Pacific coast that would work.
Trekking in Nepal during peak season might not sound like the most sensible choice for penny-pinching backpackers. But you can still enjoy the ideal weather without spending a fortune on in-demand hotels and expensive permits if you're happy to swap big-name trails, like Everest Base Camp and the Annapurna Circuit, for quieter treks to Kanchenjunga Base Camp and around the Langtang Valley. Idyllic conditions (dry but not witheringly hot) are also on offer in Rajasthan, one of India’s most vibrant and varied states. Chug between notable, attraction-rich cities like Jaipur, Jodhpur and Udaipur on an atmospheric and wallet-friendly Indian train, snacking on spicy pakoras and sipping sugary chai en route. 
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