You could try gently with a credit card wrapped in a tissue or similar, but the risk of scratching the veneer is real, and considering how great the condition is on these I think a less sharp, more purpose made implement would be better.

Cap replacement on a speaker this old is probably a good idea - the crossover is just first order I think so not at all intimidating to work on.

I am quite jealous TBH. Lovely speakers you have there.

If you are replacing the cloth cut it out so you can gain better access.

If it ain’t broken …

I have these speakers. The grills are easy to remove and you’ll do no damage. Unscrew the Dynaco pin. Then with a butter knife slowly pull away the grill. For what it’s worth the surrounds are usually fine and don’t rot. So unless someone was llaying their music wayyy too loud the speakers should be fine.

I’ve had success using a tiny Allen wrench on some speakers.

You can slide it through the gap and rotate the head to go behind/under the grill and slowly pull each corner a little at a time.

If you’re careful and not too aggressive, you should be able to get it without damaging anything at all. But that depends on how much of a gap there is between the grill and wood finish(veneer?) behind it.

I have a pair and yes, I pried the baffles off using a broad wood chisel. You have to be very careful because the baffle frames are wood and are not very sturdy. I split one and had to glue it back. As others have noted rubber surrounds are fairly robust. I had no idea at the time (20 years ago) what I was doing but I knew Dynaco was good stuff. I got them dirt cheap at a yard sale about the time everyone was getting iPods. Glad I kept them. They sound great and all components are still original.

I believe they are stapled in place and yes the Dynco badge is screwed in. Be careful