Community centre or church hall notice boards are often a good starting point as Mother and Toddler groups, playgroups and Bumps and Babes clubs advertise there and are usually pleased to welcome new members. Sports centres are also worth investigating. As well as pool fun for all ages, there are often skating and dancing sessions and sometimes ball pools and soft play areas. Exercising at home can be fun too. Stretching like a cat, prowling like a lion, walking like a monkey and wriggling like a snake won't take up much space, yet will have little ones giggling in no time.
Flexibility is the key word to finding space to play within the home.
A little used dining room or large hall can be a daily used playroom with just a little rearranging and covering of furniture. Many garages, first cleared and checked very carefully for sharp tools and dangerous car or garden chemicals, can do double duty as bike riding space for toddlers and somewhere to paint or play with sand on wet days. You can put up some of their pictures to cheer the place up a bit and paint the floor with garage floor paint if dust is a problem. It is sometimes possible to fence in a drive or car standing to give a really useful amount of skipping, riding and ball bouncing space. Some friends of ours, desperate for play space for their two girls actually moved out of their large bedroom and into a neatly fitted out boxroom so that the children had a large nursery cum playroom where games could be left to return to and friends entertained, and now , one year on, vote it a much better use of their limited space than the original conventional layout.