Morning all.
A good tip when pressing in soft bushes to prevent them deforming, is to have something inside the bush when doing so. Those of us with access to a lathe can easily make a nylon spacer the right size for the job.
Rather than going down the 'Yorkie' road (I hope he reads this)

& tapping the bush in with a hammer. I find it's much better to use a vice as a press, & to gently heat the item that the bush is being pressed into, a little oil on the outside of the bush helps too.
Cheers.