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Start with the basics: pick a spot in your home with enough light, but it doesn't have to be perfect. Most ornamental plants do fine by a window with partial shade. Then go for something easy like succulents, pothos, or philodendron - they're almost impossible to kill and they'll give you confidence. Get some pots with drainage holes and proper soil (don't use regular garden soil, it gets compacted). Starting with 3 or 4 plants is better than filling your place all at once and then not being able to take care of them all.
Once you've got the hang of it, start varying things up. Try plants that are a bit more demanding if you want to, but there's no rush. The important thing is watering when you need to - and that's where most people mess up by overdoing it. Stick your finger in the soil; if it's dry down to about 2 cm, then water it. If it's moist, leave it. It also helps a lot to join online or local plant communities - people share cuttings and give tips specific to your region.
Start by picking easy plants that survive even with neglect - succulents, pothos, snake plants - because nobody wants to kill everything right at the beginning. After that it gets easier: you figure out what your space is like (lots of light or not much?), how patient you are with watering, and then you can move on to more demanding plants. The cool thing is you don't need to spend much at first, a pot, good soil, and a cheap cutting from the market already work.
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