There are two ways to export the PK and FK.
- Using SSMS to generate the sql script. We just need to select the tables. It will generate a script.sql in your local PC.

We also can write some scripts to export the PK and FK of the User tables manually.
I've created a sql script to export PK and FK from system tables and views.
2.1 We can use the following script to export PK.
select case when colNo = 1 then concat('alter table ',concat(concat(res.schemaName,'.'),res.tableName)) else '' end headerOne,
case when colNo = 1 then concat(concat('add constraint ' , res.PKName),' primary key( ') else '' end headerTwo,
case when colNo = 1 then colName else concat(',',colName) end headerThree,
case when colNo = s2.maxRow then ');' else '' end as headerFour
from (
select s.name as schemaName,i.name as PKName,ov.name as tableName,c.name as colName,k.colid as colNo,k.keyno as indexNO
from
sysindexes i
join sysindexkeys k on i.id = k.id and i.indid = k.indid
join sysobjects o on i.id = o.id
join sys.objects ov on o.id = ov.object_id
join sys.schemas s ON ov.schema_id = s.schema_id
join syscolumns c on i.id=c.id and k.colid = c.colid
where o.xtype = 'U' and exists(select 1 from sysobjects where xtype = 'PK' and name = i.name)
) res
left join
(select schemaName,PKName,tableName,max(rono) as maxRow
from
(
select s.name as schemaName,i.name as PKName,ov.name as tableName,c.name as colName, ROW_NUMBER() OVER (PARTITION BY s.name,i.name,ov.name ORDER BY o.name,k.colid) AS rono
from
sysindexes i
join sysindexkeys k on i.id = k.id and i.indid = k.indid
join sysobjects o on i.id = o.id
join sys.objects ov on o.id = ov.object_id
join sys.schemas s ON ov.schema_id = s.schema_id
join syscolumns c on i.id=c.id and k.colid = c.colid
where o.xtype = 'U' and exists(select 1 from sysobjects where xtype = 'PK' and name = i.name)
) s1
group by schemaName,PKName,tableName
) s2 on res.schemaName = s2.schemaName and res.PKName=s2.PKName and res.tableName=s2.tableName
2.2 Then we can copy the script from SSMS.

2.3 Then we paste the script to query window of the Staging database to execute the script.
2.4 After created PK, in the same way, we can export FK and create them.
select
concat(concat('alter table ',c.CONSTRAINT_SCHEMA),concat('.',fk.TABLE_NAME)),
concat(' add constraint ', c.CONSTRAINT_NAME), --cu.COLUMN_NAME
concat(' foreign key( ',cu.COLUMN_NAME),
concat(concat(') references ',c.CONSTRAINT_SCHEMA),concat('.',pk.TABLE_NAME)),
concat(concat('(',pt.COLUMN_NAME),');')
from
INFORMATION_SCHEMA.REFERENTIAL_CONSTRAINTS c
inner join INFORMATION_SCHEMA.TABLE_CONSTRAINTS fk
on c.CONSTRAINT_NAME = FK.CONSTRAINT_NAME
inner join INFORMATION_SCHEMA.TABLE_CONSTRAINTS pk
on c.UNIQUE_CONSTRAINT_NAME = PK.CONSTRAINT_NAME
inner join INFORMATION_SCHEMA.KEY_COLUMN_USAGE cu
on c.CONSTRAINT_NAME = CU.CONSTRAINT_NAME
inner join (
select
i1.TABLE_NAME,
i2.COLUMN_NAME
from
INFORMATION_SCHEMA.TABLE_CONSTRAINTS i1
inner join INFORMATION_SCHEMA.KEY_COLUMN_USAGE i2
on i1.CONSTRAINT_NAME = i2.CONSTRAINT_NAME
where
i1.CONSTRAINT_TYPE = 'PRIMARY KEY'
) PT
on pt.TABLE_NAME = pk.TABLE_NAME