Suggestions for a first timer

My family and I (small children) will be visiting the area in 2 weeks and staying in Lake Placid. I am hoping to get some off the beaten path ideas. For background I grew up hiking all the NH, VT, ME high peaks, camping, backpacking etc. My wife and I make it a point to get away from crowds, off-road, hike to lesser known waterfalls etc. We have sort of exhausted the New England area and are excited to explore the Adirondacks for the first time. If you could post here or DM me some cool spots within 1hour from Lake Placid, it would be much appreciated!