Below are two different ways I have found to removing trem post anchors:

The best way to remove trem post anchors is not always the easiest way.

Be Very Careful doing this!

Use a claw hammer to grip the trem post, while pulling the anchor/bushing out of the body. Before getting started you may consider doing the following:

Take the tip of a very sharp razor or exacto blade and cut around the post anchor where the paint is attached to the metal, also to avoid complications and imperfections in the body using it as a leverage point (either with the pliers or the claw hammer), I would recommend drilling a hole in the center of a piece of 1/4" plywood which is larger than than the body itself.

Lay down a clean rag letting the trem post stick up through a hole and place the plywood with the trem post standing up through the hole, giving you a nice surface to pry against from any angle without damaging the body surface from compression of your tool.

If your dealing with a very old body and you can see that the trem anchors have been glued in use the following method.

First off the tools you need are old style soldering iron (thin and not a gun style) with the larger heating point attached, and also a pair of long nose pliers.

Fire up the soldering iron and let it heat up the trem post anchor from inside, this will soften the glue holding it in the wood.

Next screw in the Trem Post then quickly, take the long nose pliers and gently work the anchor out (this can take a long time, and several try's).

The easy way to remove them requires a drill press and several different size metal drill bit's.

Drill out the center gradually increasing the size of the bit you are using until you have eliminated the metal all together. This can be tricky because you will have to estimate the actual depth to drill but the best guide is the length of the new anchors.

Once the anchors have been removed and the cavity's have been safely cleaned it is time to re-seat the new anchors.

The tools you will need are a carpenters square and adhesive (PC Woody is excellent for this but Titebond II will work).

First screw in the trem post's into the anchors about 1/2 way. Then set the anchors down into the body to get a feel for how they will fit. Make any and all adjustments that you need to the wood at this point so that the trem post's are straight up and down from the body. Also if you have any wood damage I recommend using flat toothpicks to fill in the area of concern.

Now add a small amount of adhesive into the cavity ( I have found using a cotton tip ear swab helpful to spread the glue around). Insert the new trem post anchors into the body and check to make sure they are straight up and down using your square. **Let dry 24 hours before applying any stress to the anchors**