The first step is to gather your tools and decide how you want to organize your notes and materials.  The first and most important tool, in this day and age, is access to a computer.  There may be someone somewhere still doing genealogical research without using a computer, but with the vast amount of information and records available on the internet, anyone not working online is greatly handicapped.  If you don't have your own computer, libraries and Family History Centers (FHC) in local Latter Day Saints churches are also available and are staffed with knowledgeable volunteers.  Also, if you have no experience working on a computer, you may want to take a community college class or ask a friend or relative to help you find your way around the keyboard and the internet. You may be surprised at just how easy it is to learn enough to have the world of genealogy at your fingertips. 

The next necessity, providing you are using your own computer, is choosing a software program to keep your records and tree all in one place under your control.  Many online programs will offer to host your family tree and records and that is extremely valuable when researching and connecting with others. However, that is no replacement for having it on your own computer, under your control.  Unfortunately, although many sites are very reliable, things happen. Internet files can be corrupted or vanish in an instant.  Your own genealogy files on your own hard drive is the best way to keep your work and records safe.  Having said that, you will want to have some process of backing up your genealogy files, just in case the unthinkable happens and your computer goes belly up.  If that should happen, and you haven't backed up your hard drive, you usually can still get records off a dead computer with the help of a computer geek.  There are many ways to back up your computer files, many people use more than one type.  There are companies that provide cloud storage, many are free a,  flash drives, also called thumb drives,  are useful and inexpensive or you can use an external hard drive.   

There are many ways to accomplish organizing your genealogy files.  You may prefer hard copies over digitized, or you may like having both.   

The first step  to building your family tree is to start with yourself and work backward.  Document what you already know for sure and write down family stories and lore.  Locate documents you may already have, i.e. birth certificates, death certificates, marriage certificates, military records, social security records, family bible records, baptismal and church record

name variants 

Moloney, Malloney, Mallony, Mallowney, Maloney, Malony, Malouney, Malowney, Malowny, Molloney, Mollony, Mollowney, Molonny, Molony, Molouney, Molouny, Molowney, Molowny, Mouloney, Moulony, Moulouney, Moulouny, Moulowney, Mouluny, Mullonay, Mulloney, Mullony, Mullooly, Mullouney, Mullouny, Mullowney, Mullowny, Mulony, Mulouney, Mulowney, Mulowny, O'moloney

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Comparing Genealogy Software
Here are some great sites to review various software and applications you can use to keep your family tree on the hard drive on your computer, phone or tablet.  
5 Best Family Tree Builders or Genealogy Software - Free and Paid 
5 Best FREE Genealogy Programs
Cindy's List -Free Genealogy Software and Apps