You should definitely try researching some employment agencies before you consider moving. I don't know of any specific agencies, but I'm sure a good online search will help you find one that's right for you.
Perhaps you should try contacting a local recruitment agency and asking them directly? They are likely to have more information on what sort of jobs are available to you and what you can expect to be paid, as this may vary on a case-by-case basis. Contacting an agency could also help you find a solid job offer before making the move to Abu Dhabi.
Expat Arrivals has a helpful guide to the Cost of Living in Abu Dhabi which might be worth taking a look at when estimating how much money you would need to live comfortably there.
If your salary offer is not what you were hoping for, it's important to keep in mind that many job offers in Abu Dhabi come with employment packages which may significantly lower your cost of living.
When are you hoping to move?