Try out the below sql query to get all the schema/table names, row/column count inside a database
[use database name]
select [SchemaName],[TableName],[RowCount], ColumnCount
from (select s.name [SchemaName], t.name [TableName], sum(st.row_count) [RowCount]
from sys.tables t
inner join sys.schemas s on t.schema_id = s.schema_id
inner join sys.indexes i on t.object_id = i.object_id
inner join sys.dm_db_partition_stats st on t.object_id = st.object_id and i.index_id = st.index_id
where i.index_id < 2
group by s.name, t.name
) t_r
inner join
(select TABLE_NAME, COUNT(TABLE_NAME) ColumnCount from INFORMATION_SCHEMA.COLUMNS group by TABLE_NAME) t_c
on t_r.TableName = t_c.TABLE_NAME
Output: