If you do not have a front sight removal tool then use a brass punch. If you do not have a brass punch then use a heavy cloth over a steel punch. Give it one good firm tap. That should move it a good bit. If not then get a front sight removal tool, or have it done by a person who has one(if you want to keep the front sight).
Any punch will remove the rear sight, but always cover the tip with a heavy cloth to avoid scratching. It is best to have help. And have someone hold the punch in the proper position so that you only hit the exact spot you want to drift off the barrel. Make sure to first take the elevator out of the back sight so as not to scratch the barrel with it. It is also good to hold the opposite end on the sight "UP" slightly off the barrel to avoid scratching also. You can use a screwdriver for that, just pry it up slightly and let the sight slide along the screwdriver while it is being drifted out of the slot.
Also set your punches on the left side of the rifle, and drift the sight out from left to right. Tom.
OUT-left to right
IN-right to left---someone will come along and verify that. Some say it does not matter. But I always do it the same way.
When removing the elevator use a screwdriver and a cloth over the screwdriver. Slightly lift up on the end(other end from barrel dovetail) of the sight to take the pressure off the elevator. Then just remove the elevator from underneath. It should come right out. But will only come out from the bottom because the one side is slightly larger. Tom.
I also always pop mine out from left to right and install from right to left. Hogghead had some good points, I might also add to put a couple drops of oil on the sight before you tap it out. Seems to work for me.
If the front sight is in a ramp, you must support the ramp as you tap the dovetail out. Most modern ramps are on with screws. they will shear if the ramp is not supported, and only the barrel is supported. Out-left to right.
Everything went good except for the fiber optic sight that came with the peep is too long. The barrel band near the muzzle prevents it from going in. No big deal though, I can use the original. Can't wait to get it sighted in.