Does this make sense?

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In a nutshell:

I want to sell my primary residence and rent a larger home to live in, while using the cash from the sale to buy one or two multi-family homes for rental income.

Detail:

My family is outgrowing our primary residence which we purchased in 2000 and have about 5 years to go on our 15-year mortgage at 5.125%.

We need a larger home, but our town just reassessed recently and even though our tax bill remained about the same, all the recently renovated homes and new constructions were hit with massive tax increases. If we sell our home and move to a bigger house, we will expect to pay between $17k-$22k in annual property tax.

I noticed that our monthly mortgage payment including property tax escrow is about $3,200. We could rent a decent house at that price.

I don't want to fix up our current home; there are too many things that could be done better if only the previous owners didn't cut corners. I'd rather just sell it than put any more money into it.

Instead of buying a new primary residence and restarting with a bigger mortgage, I'm thinking of buying multi-family homes with the sales proceeds that will offset or cover our rent.

Do you think this makes sense? Can I make this work?

Thanks!