Lease agreement terminology regarding evictions

[Daniel Lehman]

Long story short I'm a new investor that might have to evict my first tenants for non-payment of rent. Great start... Anyways, there is a section in the lease agreement (which was already in place before I bought the property) that I think might be saying that the tenant will have to pay for attorney fees and anything that comes along with the cost of an eviction. Here it is below:

Tenant will be in default of this Agreement if Tenant fails to comply with any material provisions of this Agreement by which Tenant is bound. Subject to any governing provisions of law to the contrary, if Tenant fails to cure any financial obligation (or any other obligation) after written notice of such default is provided by Landlord to Tenant, Landlord may elect to cure such default and the cost of such action will be added to Tenant's financial obligations under this Agreement. All sums of money or charges required to be paid by Tenant under this Agreement will be additional rent, whether or not such sums or charges are designated as additional rent. The rights provided by this paragraph are cumulative in nature and are in addition to any other rights afforded by law.

I highlighted the part that makes me think this means that basically if i have to evict them, they'll have to cover all the fees associated with me having to evict them.

I live in New York.

If anyone can translate this for me that would be a great help. Thank you!