The key 2 parts to when you should raise money comes down to:

1. Do you need to raise money now? If your business is revenue generating from the early days then you might not have to raise money right at the beginning?

2. Are you ready to raise? Most investors want to see a launched product with traction and some growth numbers. For early rounds you want to prove that people are using it and its working out well. If you have the numbers to show that you are growing well and that users enjoy using your product then you are much more likely to raise.

With regard to your second point, its very hard to raise without having a full time team as investors will see that you are afraid to take the risk of dedicating yourself full time to a company so they will usually pass on the idea.

You want to show that you are dedicated to the business and that your team is. With all the requirements of running a startup its more than a Full time job so its going to be difficult to convince investors that you can compete in the market when you are not fully committed.