What sort of filter mount do I need?

I have a Canon Eos 300 SLR (film) camera, and I want to get a UV filter to attatch to the lens (it’s a kit lens, a canon 28-80mm, with diameter 58mm. Pretty standard). I’ve looked on ebay, and almost all of the filters are snap-on type filters, but then I looked up the lens specifications, and apparently it has a screw filter mount. I’ve looked closely at my lens, and it has a screw thread on the inside, and some bits of plastic that look like snap-on mounts on the outside…
Can I use snap-on filters, or do I need the screw-on ones?
Thanks.

Only use screw on filters.

The bayonet fitting you see is for a lens shade

Canon Eos Rebel XSi taking a picture with a laptop

Eos/Sadiam $12.49 Eos/Sadiam

Suspended in the Brume of Eos $10.49 Suspended in the Brume of Eos

Snap! $9.49 Snap!

EOS Nourish Everyday Body Lotion by EOS 1.5 oz Hand Lotion $3.99 EOS Nourish Everyday Body Lotion by EOS 1.5 oz Hand Lotion

Quantaray T-mount for EOS Canon $11.99 Quantaray T-mount for EOS Canon

EOS 60D – digital camera $999.99 Canon EOS 60D – Digital camera – SLR – 18.0 Mpix body only

EOS 7D – digital camera $1699.99 Canon EOS 7D – Digital camera – SLR – 18.0 Mpix body only

EOS Organic Lip Balm Kit by EOS 4 Piece Kit Includes: EOS Summer Fruit Lip Balm + EOS Honeysuckle Honeydew Lip Balm + EOS Sweet Mint L $15.9 EOS Organic Lip Balm Kit by EOS 4 Piece Kit Includes: EOS Summer Fruit Lip Balm + EOS Honeysuckle Honeydew Lip Balm + EOS Sweet Mint Lip Balm + EOS Vanilla Bean Smooth Stick

EOS Rebel T2i – digital camera $722.99 The new flagship of the EOS Rebel line Canon EOS Rebel T2i brings professional EOS features into an easy to use lightweight digital SLR that’s a joy to use. Featuring a clas

EOS Smooth Lip Balm Sphere Twin Pack by EOS 2 Piece Pack Includes: EOS Passion Fruit Lip Balm + EOS Strawberry Sorbet Lip Balm $6.49 EOS Smooth Lip Balm Sphere Twin Pack by EOS 2 Piece Pack Includes: EOS Passion Fruit Lip Balm + EOS Strawberry Sorbet Lip Balm