Sql Stored Procedure - Proc Creates Query

Is it possible to pass 5 variables to a proc and have IT do the thinking and query structuring?

An example of what I'm try to do is have one proc for getting vehicles by make, model, and years

example of what I'd like to accomplish:veh_list_vehicleInfo_byDetails
@TypeID int,
@MakeID int,
@ModelID int,
@begYear int,
@endYear int
AS
BEGIN

declare @SQL as nvarchar(500)
set @SQL = 'SELECT a.ID, b.Model, c.Make, d.Name, a.Year, a.Mileage, a.Price, a.Sale, a.Certified_Pre_Owned FROM veh_vehicles a INNER JOIN veh_model b ON a.ModelID = b.ID INNER JOIN veh_make c ON a.MakeID = c.ID INNER JOIN veh_location d ON a.LocationID = d.ID'

decalre @ATTRIBUTES as nvarchar(500)
if @TypeID is not null AND @TypeID > 0
begin
set @ATTRIBUTES = @ATTRIBUTES + ' a.TypeID = ' + @TypeID
end
if @MakeID is not null AND @MakeID > 0
begin
set @ATTRIBUTES = @ATTRIBUTES + ' a.MakeID = ' + @MakeID
end

....etc etc.......

if Len(@ATTRIBUTES) > 0
begin
EXEC(@SQL + ' WHERE ' + @ATTRIBUTES)
End
Else
BEGIN
EXEC(@SQL)
END

END

 But I keep getting some errors regarding converting 'a.TypeID = ' to int

?????  Please help!!

 I figured this would be easier than writing stored procs for EACH situation