I can't believe some of the posts here. There seems to be some sort of cost snobbery when some-one asks for advice on kit .... whether this happens to be rifles, optics, 'scope mounts, reloading dies, cartridge cases, bullets, or whatever.
Get real. A bullet puller is bought for occasional use as a necessary bit of kit. It's a means of correcting your mistakes -too much powder, too deeply-seated bullets, or de-activating cartridges you don't have on your FAC. As such a hammmer-type bullet puller does the job.
I can't see how anyone can possibly go wrong with one of these. You have to be extraordinarily ham-handed to damage bullets with it as these emerge unscathed. You are far more likely to distort bullets with a collet/press assembly which costs several times more.
I've got the same beaten up Quinetic-Q inertia bullet puller that I bought 25 years ago. Over time it has taken apart hundreds of pistol, and small rifle to magnum rifle rounds to retrieve components. Most of these have been reloaded to form more accurate or safer loads.
I've looked at the Reloading Armoury look-alike encased in cellophane, and it's got all the bits I need as a replacement. It's £20 quid but is worth it's weight in gold.
Just buy it, and ignore sniffy advice unless you are a major league ammo 'reassembler'.