Put the word out among the UK Filipino community that you are looking for a teacher. According to the Philippine Embassy in London, there are roughly 250,000 Filipinos in the UK. While many of these are migrant workers who won't have enough free time or the work clearance to teach you, approximately 10 percent of the Filipinos in the UK are second generation students at university, so you should target your search for a teacher among this group. Join a site aimed at this group, such as phil-uk.com, and post on the forum that you are looking for a teacher.
Assess the applicants to find the right teacher. Find out how the classes will be taught, what experience the teacher has and obtain references if possible.
Negotiate a price with the teacher. As of May 2010, you should expect to pay from £10 to £20 ($15 to $30) per hour, but may be able to get a discount for paying for a group of lessons up front.
Compare books and audio courses to find the right materials for you. It's possible your teacher won't have taught Tagalog before so you may need to assemble the teaching materials yourself. As of May 2010, Rosetta Stone was selling a level one Tagalog course for £169 ($246), and Teach Yourself Tagalog was available from Amazon at £8.50 ($12).
Visit SEAsite's online Tagalog program and take advantage of the free resources it has.
Share your course materials with your teacher, and draw up a weekly learning program to help you hit your learning targets.