Every state requires slightly different steps to buying a home, although they are basically very similar. Since I am most familiar with the way California does it, here is the path to home ownership in California, broken down into simple steps:
1) Hire a Buyer's Agent
A buyer's agent will represent you and have a fiduciary responsibility to look out for your best interests.
Ask your agent for a referral to a mortgage broker, but also compare rates offered by your own bank and / or credit union.
Ask the lender to give you a loan preapproval letter, which means it will verify your income and pull a credit report.
Determine your maximum loan amount, but choose only a mortgage type that you understand and a payment level with which you feel comfortable, which may very well be less than the maximum for which you are approved.
3) Look at Homes for Sale
Ask your agent to look at homes for you before showing them to you.
Narrow your search to those homes that fit your exact parameters to find that perfect home.
Ask your agent to give you MLS print-outs of comparable sales in your targeted neighborhood.
Your agent or transaction coordinator will open escrow and title, if the listing agent hasn't already done so.
Ask for the escrow officer's name, phone and escrow file number.
Give this information to your lender and your insurance agent.
8) Order Appraisal
Your lender will require an advance payment for the appraisal.
If you receive a low appraisal, discuss options with your agent.
Ask for a copy of the appraisal.
9) Comply With Lender Requirements
Lenders may ask for additional information.
Do not make home buying mistakes such as altering your financial situation while in escrow.
When the file is complete, the lender will submit it for final underwriter approval.
10) Approve Seller Disclosures
Read and question items you do not understand on the TDS, Seller Property Questionnaire, natural hazard report, pest inspection / completion and other documents such as a preliminary title policy.
Realize you have 10 days to cancel if lead paint is a health hazard.
Read every document in its entirety; ask questions about all seller disclosures.
If the home inspection turns up health and safety issues, issue a request for repair by asking the seller to address those issues or give you a credit for them.
Realize no home is perfect, and the inspector will find faults.
Be reasonable.
14) Remove Contingencies
By default, California C.A.R. contracts give you 17 days to remove contingencies.
Make sure your loan is firm and the appraisal is acceptable before removing your loan contingency.
If you do not remove contingencies, the seller can issue a request to perform and then cancel the contract, on top of demanding your deposit.