You seem to be doing fine as you are, to be honest!
The big danger with philosophy is getting too deep too quickly, and being overwhelmed by jargon, ideas and references which are foreign to you. Russell is a good place to begin, because he starts with common sense puzzles - can we trust our senses, what is the world really like, how can we be sure, etc. He also deals with actual philosophers and philosophies, so you get a bit of an intro to the historical side as well. However, other approaches will be different, so don't be dispirited if you get bogged down with this or that book, but merely try to find one that speaks to your interests - whatever they are.
Regarding good intros, I've heard good things about Nigel Warburton's "Philosophy the Basics", and Julian Baggini has produced a number of good books which are aimed at the lay person. If you want something with a slightly more historical slant, then (blows own trumpet!) you could try my "Words of Wisdom", which has one-page explanations of 360 philosophy quotes - which might give you an idea of interesting ideas or philosophers to follow up.
But whatever you choose, my advice is simply to build gradually on your interest, and let it grow. There is no one specific way to "do philosophy properly" because all philosophers will disagree about the job that philosophy is supposed to do! So, just carry on!
