On my upcoming trip through Ireland, I'll be within a half hour, by public transport, of Kilfenora where the Burren Centre is. I won't have a car though. Is it worth it to take a bus out to the Burren Centre? Are there any tours offered from here? Are there trails to hike, is it safe to be solo here?
I think it is definitely worth it. The Burren Centre in Kilfenora is very nicely done, not too big, friendly staff, and gives a good overview of the special region. There are MANY things to see within reasonable walking distance, including the ruins of an amazing cathedral and arguably one of the best collections of stone crosses in Ireland. Check out the UNESCO Burren Geopark site for ideas of things to do in Kilfenora... https://www.burrengeopark.ie/discover-explore/burren-towns-and-places/kilfenora/
According to info there, you can take a guided walk (with author Tony Kirby) from the Burren Centre "every Tuesday, Thursday, Saturday and Sunday in June, July and August at 2:30 pm."
As to safety, I cannot say for sure. I was there with family on the day of the Ceili Festival, so there were hundreds of friendly locals dancing, watching, or eating ice creams in the street! Felt very safe.