This is my tried and true method for leveling construction.
Craft a digging stick. Dig holes until you get to Con 1.
Craft a stone axe. Chop trees and turn them into logs until you get to Con 2.
With any remaining fallen trees, turn into planks until you get to Con 3.
After that, using all your logs and planks and holes, build log walls (I usually build a little area in which to farm and keep my solar welding array) to get to Con 3.
Now build and disassemble cabinets (I think it’s cabinets) until you get to Con 5. Alternatively you can build window frames and/or reinforce existing windows (do this if going for Construction 9)
At Con 5, it’s time to start reinforcing doors until Con 6.
Now, I hope you’ve got stone saved up, cause you either need to build stone walls or sofas. Personally, I find stone walls more useful. Do whichever until Con 7.
Now, hopefully you’ve reinforced windows to skill up to 5, because now you need to armor those reinforced windows. Do so until Con 8.
The penultimate construction action is that of building metal doors. You can do this anywhere, but hopefully you left spaces in your stone/log wall structures. Grind to 9.
Now you can finally build a well. Congratulations. Infinite water forever.
or at least until you run into a chicken walker…grumble grumble
It can be noted that with this technique, I generally have Construction 4 (as well as a somewhat secure outdoor area for water catchment, and later a well) a few days in. Obviously there is no point with this strategy if you’re going with a LMOE shelter (unless you want a farm/solar array, in which case the log/stone walls are very useful) since you already have infinite water. Also, if you’re going death mobile, this is also a considerable waste of time.