How to get financing on a 2-4 unit multifamily while owning a primary residence

[Ku Thao]

Hello all,

We currently own a 4 bed 2 bath primary residence that is valued at $425k.  We would like to rent out our primary and buy a 2-4 unit multi-family owner occupy.  I reached out to a lender and they stated that it will be difficult to do because the new purchase must be greater in value, space, rooms, ect... How do I get over this hurdle?  What options do I have? Should I check multiple Lenders?  We do not want to sell our current home.  Thanks in advance for any insight.