Rea's Wood

The nicest, closest walk I've found so far is just on the other side of the Town of Antrim. It includes Rea's Wood, which is pretty much a forest by Irish standards I'd reckon, the shores of Lough Neagh and a river to walk along which winds its way past sailboats nearer the lake and past the grounds of an old castle which is now a lovely garden, right into the heart of Antrim. 

There's music in the garden on Sundays and if its not raining tomorrow I'll be going to check it out :)