I am not sure that legal aid/advocacy will help those affected here. The President has wide latitude to make immigration decisions. Love it or hate it, the new policy is what it is and the courts are likely not in a legal position to be able to overturn or make an end-run around it, regardless of how compelling the argument in a given case is. Encouraging new and timely legislation is much more likely to be effective if you are opposed to this executive order.
1) You don't have the right to counsel in immigration hearings. There are several organizations that provide free legal aid.
2) Immigrant communities are scared and need to know their rights, and have a trusted source of information. There are unfortunately a ton of scammers who prey on scared people.
3) These organizations are a helpful intermediary between vulnerable people and government agencies, police, etc.