Hi, You will need a taxi to take you to the tram museum, it's about 4-5 miles away. If you visit the Tramway Museum website they will give public transport information regarding bus travel. When are you going to Crich ? We are members of the Museum Society but live 200 miles away. We have visitor free admission tickets and could send them to you at the hotel,
I didn't see any dogs there but if you look at the peak district online site,
it does state 'pet friendly' and well behaved dogs are ok but not to be left unattended. Again I'd phone them to confirm. Not sure how up to date that website is.