i always suggest beginners use the free library edition of ancestry.co,uk at first, you can pay �65 or so for a years subscription and spend the first 3 months trying to learn how the records and indexes and site works, at the library you can use the same indexes and sources on that site for free! It's still using a computer, but you are not wasting your own money learning not just about how the records work, but how to use ancestry.co.,uk.
You should start making your own records of everyone still living in your family, then make contact with as many as possible asking if anyone knows who has inherited the family records or certificates, there is always someone who has the 'biscuit tin' or old handbag/suitcase. Start finding our what area your ancestors were from and what occupations they had, this will help you narrow down your searches online.
Keep each line in a separate A4 file and work on one line at a time until you hit a brick wall and then move to another line and work on that until you can find a solution.
You can register your interest in your family names and locations at various sites, genesreunited is a good one but to exchange info costs money.
If you know where any of your relatives are buried and can get to the graveyard or cemetary, there is often useful information on gravestones which is not always in burial registers or on death certificates.
It is free to look at local newspapers on mictifilm in your local library and these may give info on births deaths and marriages for your family and are often indexed.