Based on your info given, you seem like a strong candidate to get a loan. To determine your price range, your best first step would be to work with a mortgage broker. Typically, it is 75% of the rental income that will count towards your income in determining your price range.
Financing changes drastically once you go past 4 family, it then becomes a commercial loan. Many mortgage brokers you work with for 1-4 family properties will not be able to help you with a 5 or larger.
Even if you buy a 2-4 family property, you can still consider using an LLC. Some lenders have issues with that, so that is something else you will need to discuss with the brooker and/or your lawyer. If you can't buy in an LLC, you can possibly transfer it into one, or into a Trust, afterwards. Check with your lawyer on all of the possibilities. That way, when you are ready to make an offer, you will know what the process will be.
When choosing an agent to work with, make sure he/she is familiar with multi-family properties. Regardless of what a loan officer tells you that you can qualify for, your agent should be able to help you with a cash flow analysis for a property to make sure that it is within your comfort level financially. You have to factor in some repairs and potential vacancy losses. If you push too close to your limit, a few small issues can cause big financial problems for you. As long as you buy smart, this is a great way to build wealth.