Flamingo Land is awesome. You should go on the wild mouse (or is it crazy mouse, can't remember) – scariest rollercoaster in the country, just because it is so shonky and horrible. It is a real laugh. Bit expensive to take a toddler to though maybe, given they can't go on the good bits. If you're looking to go on a rollercoaster yourself, don't bother queueing for mumbo jumbo (the new ride) – it is dull, and not as good as kumali or the one with the motorbikes.
The forbidden corner is awesome, although I don't know if a 2 year old would get any more out of going there than just going to a park?
Lots of great picnic places on the moors. There is a nice ice cream place somewhere near there too, some small village, maybe it had a castle, can't remember exactly.
Joe