You don't need a sight pusher. I mean, it makes the job easier especially for fine tuning to zero-in at the range, but not necessary.
If you have a work bench vice, it makes the job easy to remove and install the rear sight and to remove/install the front sight pin. Dawson gives you a free nylon tipped punch. And you need a light hammer. Try the Dawson punch first to remove the factory rear sight but if it's stubborn, then resort to a steel punch which will definitely mar your factory sight. (I had to use a steel nail punch to remove the rear sight on my P01 after I totally destroyed the Dawson punch.) I think you remove the rear sight from right to left. (You'll see fine marks on the factory rear sight showing the direction it was installed.) Also I read to remove the front sight pin from right to left b/c the hole on the left is bigger.. not sure if that's true.
Use lots of masking tape to protect the slide's finish. (Punches have a tenancy to slip and hit stuff you don't want to hit). I also put masking tape around the shoulder of the Dawson punch because that shoulder always seems to hit the finish. Of course use some sort of padding in the vice to protect the slide's finish especially on the extractor side because it protrudes out a bit. I never installed sights without a vice so I can't offer advice on using a block.
Be as meticulous as possible and take your time. If you begin to rush or get anxious, walk away and come back later.
It can be tricky making fine adjustments with a punch to zero it in at the range because you really can't see the sight moving and sometimes it doesn't move at all or you hit it too far.... so a lot of trial and error of tapping the sight. Don't use loctite until it's zero'd.
-Dawson nylon tipped punch (or steel punch for stubborn rear factory sight)
-Light hammer (nylon hammer is helpful tapping in the new front sight)
-Masking tape
-1/16" or 2mm punch to remove the front sight pin. Preferably a 2mm roll pin punch but not necessary.
-Sandpaper, sharpening block, and/or small needle files to fit the sights. There's lots of videos on fitting and installing sights. Everyone fits sights differently so I'm not going to describe how I do it.