My standard reference is the print and digital edition of Merriam-Webster’s 11th Collegiate Dictionary, but for cross-referencing, I also use the American Heritage Dictionary of the English Language. Both of these dictionaries use the American English standard, the variety of English used in the Philippines where I am based. I would think that since you live in a country that uses the British English standard, you made a very sensible and logical choice in the Oxford Advanced Learner’s Dictionary. There simply are too many differences in spelling, definitions, pronunciations, usage, idioms, and figurative expressions between British English and American English that to interchangeably use dictionaries in either standard could mongrelize your English, so to speak. I therefore suggest that you stick to dictionaries using the British English standard.
As to enriching your English vocabulary, however, I don’t think the outright reading of dictionaries and the memorizing of word definitions are advisable ways of achieving that goal. A much more effective way is to read well-written English-language fiction and nonfiction books as well as magazines, and to listen to high-quality TV or radio programs in English. Each time you encounter a new or unfamiliar word, simply check out its definition and usage with your dictionary. By doing this routine, you’ll be amazed at how much you can enrich your vocabulary over the years.
I understand that despite recent claims that the English lexicon has already grown to over 1,000,000 words, the Oxford English Dictionary stands pat on its official word count of 615,000 for English. Even that is still much too many words to cram one’s brain with, I think. After all, some language experts say that only about 200,000 of those words are in common usage, and all that a typical native-English-speaking college graduate needs to be functionally literate in English is about 20,000-25,000 words. I’d say that unless you are gunning to compete in big-league English Scrabble, a personal English lexicon of 40,000-50,000 words by the time you are 40 or 50 years of age won’t be bad at all.