I made my first program and now I need to run it on the client. How do I do?

I made my first program and now I need to run it on the client. How do I?

I made my database with SQL Server Express 2016. My windows is 64-bit. I thought of installing the same bank on the client, however the system there is 32 bits.

Is there any way to pass the database file along with my program? No need to install SQL Server?

This is my connection string:

 private string StrCon = @"Integrated Security=SSPI;Persist Security Info=False;Initial Catalog=MartinezSis1.0;Data Source=LATITUDENOTE\SQLEXPRESS";