How do I go about getting the funds to bring the mortgage current so I can continue making payments to the bank via lease option to tenant-buyer? 

I don't think an unsigned lease will help you that much.

Here is an example using the numbers for one of our average deals this past year.Purchase price 62kRehab, holding costs, closing costs 19kAll in 81kARV 90kBank Loan 67,5002nd position investor 10,000.We sold property for 99,900 on a 5 year option with an option fee of 3900.Our total into the property about 2,000.Rent 895Bank loan 434Taxes and Insurance 81Services 34Maintenance 0 (The property is renovated and the tenant is in charge of fixes)Vacancy 0 (The tenant has a 5 year lease with option to buy)Cash flow to investor 92Cash flow to us 254We don't budget for maintenance or vacancy because we use the lease option model and if the tenant does break the lease early we will just fix up the property with our own money and we will replace the money used with the new option fee from a new lease option tenant.  

I can factor a fixed cost into the lease or I can pay it outright but I can't split it each month. 

It’s legitimate but now you’re in a business where the operator might choose to lease a BMW through the business and you would prefer (for obvious reasons) that they lease a Prius.

I was hoping you guys could consider this potential loan strategy for our first house/rental property.We are currently in a lease but have come into what seems to be a great opportunity for a first investment/house hack.

At the same time not too low that I am totally screwed if that is the minimum that gets bid.Here is the rental listing:https://www.zillow.com/homes/for_rent/30-Carter-Av...Here is the BP listing:https://www.biggerpockets.com/forums/517/topics/544758-cash-flowing-turnkey-3-15-sf-in-dayton-ohioIts a fresh building and new tenants agreeing on three year lease at $820, plus, plus.

All units are occupied which the leases are expected to end within the next two months. 

Looking for the best way to make a lease up.

If it's a little seedy, contact the people who run estate sales in the area and see about setting up a nominal base lease with a breakpoint clause.