A smooth wind right down the runway can help rather than hinder both takeoffs and landings. When the blow exceeds 20 knots, you must be on top of your game, and above 25 knots is for serious players only. There are some questions to ask yourself. There is no dishonor in opting for more instruction, if needed, and for most of us it is a good investment. The aircraft itself is also a part of the process.
Some aircraft are just better in the wind than others.
Traditional wisdom says that low wings handle wind better because it is less likely to get underneath the wing, and the center of gravity is lower. Statistically, this hasn't been proven that I'm aware of. Cessna built tens of thousands of high-winged machines in Kansas, where the winds are anything but gentle. There were no particular ill effects, but their test pilots also knew how to fly. There is no question that tailwheel airplanes are a bigger handful in the wind.