House Hacking Rules

[KK A.]

My husband and I are currently looking into purchasing a Triplex to house hack. We currently live in an apt with a lease ending in May. The units in the Triplex are all also currently rented out through next summer (May, June & July). 

If we bought this house in the next two months (using conventional financing), would we be allowed to wait until next summer to move in, once our lease is up and one of the current tenants lease expires or does conventional financing require you move in within a certain time period?

I have to imagine we would have some time because people who need to renovate multi families before they move in, would have extra time (I assume?) but want to check before we pull any triggers. Any insight anyone could provide would be greatly appreciated.