The best way to start here is to get your hands on a good wine book and subscribe to a couple of wine sites plus a magazine or two. The major newspapers have regular features recommending wines so try these and see what you think.
You may observe that you disagree with some wine writers and that your taste is aligned with others. You can also look for the best wine tasting course via https://www.sommwine.com/wine-courses/
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Next, get to know a reputable wine retailer and introduce yourself to someone there who has broad knowledge in both local and overseas wines. Tell them what you like and don't like and ask them to suggest which wines you should try.
When visiting wineries, try a few wines at their cellar door, and don't be afraid to ask questions. Again, you can just buy a bottle or two of what you like and subscribe to their mailing list if you really love their wines.
Wine Racks – great for short term drinking
A wine rack at home is fine for short term wine storage, wines that you aim to drink within a couple of months. Of course, your choice of wine rack will depend on a number of factors, including space, budget, and aesthetic preference. There is a myriad of wine racks on the market to suit all of the above, but please, please don't keep wines there you plan on cellaring long term.
Wine Storage – start a cellar and maintain good records
There is probably no better sense of satisfaction for a wine enthusiast than opening a bottle of wine you've cellared for a few years. Assuming it was a decent wine to start with, the quality of the wine after cellaring will depend largely on how and where it's been cellared.