@Trevor Bond I have done this a couple times. I think it will be unlikely you'll have perfect tenants if it is a serious rehab. Usually there is always one bad one if the properties weren't maintained.
If you were truly to get perfect tenants and they were fine with paying market rents with improvements done, a lot would depend on what kinds of improvements you are making. If you are having to do serious electric , plumbing, HVAC, or layout changes, it probably won't work out well. If it it's more surface work, like painting, light fixtures, new cabinets, etc, you could likely accomplish it.
The more likely scenario is that you have one really bad unit that you can start on either through terminating the lease or offering the tenants some kind of move off incentive. You can then fix this unit and any exterior/common area work. You can let the remaining tenants know you plan on increasing rents and offer one of them the updated unit for higher rent. If they accept it, you can rotate them into the updated unit, and fix their old unit.
I've never had this happen, once you mention all the repairs you have to do and the rent increase, they will likely move out on their own within a few months. I've only had one person stay. They were already paying market rent and had a year lease. I had to re-pipe their bathroom as part of broader building update. They were a constant headache despite complaining their bathroom never worked.
Lastly, a lot will depend on if they have formal year leases or just verbal month to month. If they are month to month, then you can proceed with terminating the leases if you wish. If they have year leases, you'll have to abide by the terms.