What is shoe molding?
You will need a mtre saw and saw box, and a nail set with snall finishing nails.... https://www.youtube.com/watch?v=_NiHDQeFOLQ
Make sure you nail the shoe molding into the baseboard and not into the floor. Movement in the floor will cause it to pop out, crack, and fail,
Here is a nice video tutorial for you: https://www.youtube.com/watch?v=_NiHDQeFOLQ
Oh, I think that is what we call quarter round.
I suggest pre-drilling smaller pilot holes, to keep the wood from splitting.
Also buy a nail set or nail punch.
As suggested above, a mitre box or a mitre saw. If you have complex molding, I would recommend a compound mitre saw.
Once you installed it, you can seal it and hide imperfections with a bead of caulking since most of the time you won't be able to make a perfect match to the baseboards and floors.
Hi Thomas, hope this helps you out
Personally, I paint mine before installing. That way, I only have to fill nail holes and touch up.