Yes we do have pediatric (children's) dentists. Type "Children's dentists Glasgow" (minus the quote marks) to get an idea.
You should note, if you already know about Google, and have been typing "pediatric dentist", and you have not seen many helpful results, that the UK spelling of that word is "paediatric". Searching on "Paediatric dentist Glasgow" gives plenty of hits. In fact the University Of Glasgow offers a postgraduate course in Paediatric Dentistry, so in fact you will be near a centre of excellence.
