Chiller,
Do go on both the noddy trains to give you an overall picture of the resort.
There are loads of excursions available it all depends on your specific requirements, there is something for everyone.
Balchik - gardens - go by taxi.
Nessebur - history - Excursion probably best
Varna - shopping museums and Roman baths - best done by bus or taxi.
Waterpark - bus from outside hotel - very near. 24 leva per day, drops to 18 in September.
Dolphinarium and sea-park near Varna - best done by taxi.
And thats not counting boat trips or longer excursions to Bulgarian villages etc.
Re restaurants I will not give recommendations because what one person likes another wont. It may be the good chef's night off or the restaurant may have changed hands or even the waiter could be having a bad day.
Hope this helps.
Patka