Your first step should be finding a real estate professional that can support you through this process. Incidentally, the fee for this service is paid for by the seller so it will cost you nothing and may save you in more ways than you can imagine.
The process should include:
1. get an agent
2. obtain a letter for proof of funds from your bank
3. write a deposit check
4. find out how the bank wants the offer presented
5. write up purchase contract
6. present it to the bank with your deposit and proof of funds
7. wait for a response
This is an over simplification but basically includes the main steps.