If you're new to the database and you have access to the database engine tuning advisor, you can heuristically tune your database.
You basically capture the SQL queries being run against your DB in the SQL Profiler, then feed those to DETA. DETA effectively runs the queries (without altering your data) and then works out what information your database is missing (views, indexes, partitions, statistics etc.) to do the queries better.
It can then apply them for you and monitor them in the future. I'm not saying to assume that DETA is always right or to do things without understanding, but I've found that it's definately a good way to see what your queries are doing, how long they take, and how you can index the DB appropriately.
PS: With all that said, it's much better to invest in a good DBA at the start of a project so that you have good structures and indexing to start with. But thats not the position that you're in right now...