You can do the inspections right away if you like, or you can wait until after the sell-your-own home contingency, so long as there is no "inspection contingency" period which you would be violating. (i.e. if there are multiple contingency periods, each one must be met on its own--if you wait too long to do A because you are waiting for period B to expire, you could be in default of A.) That said, since sometimes delays occur and inspections need to be rescheduled, even though it means "risking" some money, in the event you end up not selling your own home, you are probably better of scheduling the inspection sooner rather than later.