Good Dentist/Orthodontist in North Dublin

Looking for a dentist based in North Dublin or the city center but would be
willing to travel to the North if there was significant difference in cost.

My issue is I have not been to a dentist for about 10 or 12 years, this is not
due to any phobia and more due to laziness on my part and it is at the stage
where I am a bit embarrassed of the condition of my teeth and I want to get
this rectified as soon as possible.

Regarding my teeth, my top row are slightly crooked and discolored but are
in good enough condition, whereas, my bottom row are badly discolored,
crooked and I think I may need some teeth pulled out, due to overcrowding,
and think I may also need a bridge/crowns or braces may be another option.

Ideally I would like to improve my teeth as much as possible with a budget of
around €2000 - €4000, but I am fairly clueless on this topic and I am not
really sure if that is even a realistic budget.

So if anyone could PM any recommendations, that could deal with or
specialize in these types of issues that would be really helpful
and very much appreciated, thanks.