Is there a park nearby you can go check out? Good place to scope other kids in the area! My toddler (20mo) and I head to the park (bottom of the street) every morning and some afternoons, there is usually other kids between 18mo and 3yrs (it is a very 'toddler' park) who she will play with although occasionally when we go there is nobody else but she is happy to explore alone. We have been going for months (regularly started when DD began walking) so now know the 'regulars' and it is a pretty hassle free way to get some interaction. We usually go down for an hour or two before naptime.

Other than that, I meet up with a group of Mum's with similar aged kids every 2 weeks and might have a playdate here and there.