Canberra has 5 indoor play centres and trampoline parks within 20 km of the city centre, listed closest first. 4 are play centres and kids cafes and 1 is a trampoline park. 5 were listed from the operator's own website, which is linked on the card; the rest come from OpenStreetMap and are worth a call before you drive. The closest to the centre is Kidzplore at Fyshwick, 5.5 km out. That is not many for a city this size, so the rainy-day pages for Canberra's suburbs are worth a look too, as they reach out to 12 km and include pools, libraries and museums.