"What conditions would there be if I used that photo?" - That is an ordinary use of the phrase "would there be". It means something like "What conditions would exist?"

Will be there or would be there?

The only difference is in that a hypothetical situation "would" can work for past, present, and future, while the conditional situation "will" works only for future.

What does it mean when someone says would be?

a person who wishes or pretends to be something.