By chance be a little more specific? Are these zoom lens, example, 55-200mm? or just 200mm and 300mm. Also, what brand and lowest F-stop number? Do these lens have vibration Resistant technology like Nikon's VR? Example: Nikon 70-200mm 2.8 VRII. I'm not trying to be difficult, the devil is in the details. Example, using VR on a camera mounted to a tripod could create blur. So knowing the details can better help us to help you. As for a remote, it's import to use a cable remote when shooting in low light conditions such as the moon and stars etc. The reason being is even the slightest touch of the shutter button can cause enough movement to create motion or blur in your photos. Now I'm assuming you're using a tripod? Tripods are key for low light photography as you probably already know but even a slight breeze on a tripod can cause blur. One thing you can do is buy a more sturdier tripod which isn't cheap or try hanging some weight from the center rod on your existing tripod…they all for the most part come with a pull out hook. Some people hang small sand bags. The moon. I would use a minimum of 200mm and 300mm if you got it. Now before you start comparing your photos to those you find floating around the web, keep in mind that some people will take dozens of photos of the moon at different exposure settings and then "Image Stack" them using Photoshop. This is a more advanced technique and produces some really nice detailed moon photos. Moving on, I would set your F-Stop around F/8-11 and the shutter around 1/125. You can adjust either one to help better expose your photos. But use your cable remote even though you're using a quicker shutter speed…remember, a slight push of the shutter button is more than enough to cause blurring.