I would highly suggest putting up your CV on www.bayt.com and www.gulftalent.com
These are the most commonly used recruiting websites that are used by most companies...

You may also consider registering on websites of other recruitment firms like clarendon parker.
The other good option would be to chk the website of BAC ME (It is a reputable consultancy firm in UAE). They have a job bank...chk if any vacancy posted there, suits your profile, and you can email them, with your updated C, recent PP pic, a brief about yourself and your availability to join. Ofcourse, as suggested to you earlier by Lizancy..it's good to be here on a visit visa and mk it your 1 time focus to get a job here. So wake up early, scan all the the appointments section of Gulf News & Khaleej Times...post your CV. Speak to recruitment firms that you can, and ask thm if you can fix up a meeting...be a go -getter!

And most importantly...Believe in yourself! Be confident! You gotta sell youself across the table in those few minutes with the consultant....if they are convinced, they will be all out to send your CV to every place they can
All thes best!