Classical players do not have to deal with tone. Almost all acoustic guitars of the same size with the same strings sound almost the same. Pluck or pick near the bridge, and all of them sound snappier and twangier. Pick near the bottom of the fretboard, and all of them sound rounder and smoother. (This also applies to electric guitars, because it's physics.) It takes about ten minutes to appreciate the range of tones available from an acoustic, and another ten to convince yourself that, yes, resting your hand on the soundboard does take a little off the treble frequencies.
Start by trying each type of string, from flat-wound to pro-steels, to get an idea of what each one sounds like. I would stick to one string maker to keep the variables down. And try 9, 10, and 11 gauge. (Yes, it makes a difference. 9's feel thin against the fingers and a way easier to bend.) Play DR Blues 9's or 10's and you may never buy another brand again.
I understand that kids these days do not buy amplifiers. They buy an interface (say a Focusrite Scarlett 2i2), plug it into their Macbook, make all the modifications in Garageband or some other DAW, and listen over a £69 pair of headphones via the interface loopback. This is one way to do it, and I understand that this is now taught in primary schools, or is just intuitively obvious to anyone under fifteen. The weakness in this method is headphone quality. If you do go this route, get decent headphones, say, Sennheiser HD560S or better. You ears will thank you.
Amps. Valve vs solid state vs modellers, Fenders vs Marshalls vs Vox vs Roland JC's vs Boss Katanas vs the list is endless.
(Fender Blues Junior)
You Tube demos and reviews are a reasonable starting-point. YT audio is heavily-processed and that's before your laptop or phone soundcard gets at it. If an amp sounds bad on YT, it most likely will sound bad in your room. You should try them out in a store, but only if the resident shredder is being quiet.
The amps in You Tube demos are always cranked. Those lovely crunchy rock tones can only be obtained at 85 dB and more - just look at the dB meters in the background of Andertons videos - and with a valve amp. Half the time, there are pedals as well, but those might not get mentioned. Below that, you will only ever get a clean tone, with maybe a pinch of distortion from an effects pedal. It will sound different, but it won't sound... glorious. If you're playing jazz or blues, it's fine. But if you want that big stadium-rock / metal sound... you will need to record into a DAW, apply the effects there, and listen over headphones. Learning to use a DAW well does not happen in an afternoon. Or sound-proof your room.
Well-meaning people will suggest a Katana.
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It is excellent value for money, it has a pre-amp volume, a Master volume and an attenuator / power control, so it provides lots of bites at the volume control cherry. It has decent effects - many based on BOSS's own pedals, so they should know - built in, and control software that lays everything out really well. The only thing you need to know is how to EQ it so it provides a reasonable approximation to a "real" amp.
The majority of recorded guitar sounds you have heard have been played through Fender amps, with Marshalls and Vox's a distant second and third. Fender amps are bright, light, clean, and like a sunny day on the beach. Marshalls are darker, heftier, distort more readily, and are like a funfair at night. Fenders are an easier place to start. To get close to that sound with a Katana (I don't know about the other modelling amps) takes implausibly extreme EQ settings. (See this post for details.) However, the base level valve amps (a Fender Blues Junior or a Fender Vibro Champ) are at least twice as much as a Katana or other modelling amp.
Guitar amps are loud. For the same wattage, nearly twice as loud as a pair of hi-fi speakers. 1 watt through a 12-inch Celestion speaker
will produce between 95-100dB, which is well into Health and Safety territory. 1 watt. You don't need 2, let alone 100. Watts are used as a proxy for build and component quality: within the same manufacturer and range, mo' watts generally means mo' quality. A Fender Blues Junior provides 15 watts, and the Vibro Champ provides 5 watts. That means the Blues Junior is about 5dB (i.e. not a lot) louder at full power than the Vibro Champ. All the volume is in the first watt.
Having chosen your amp (on the basis of reviews, what your mates said, budget, volume, weight, and looks, as well as how it sounded in the store) you need to get a sound you like from it. This will not be done in an hour. You need to hear how the the sound varies with how high or low you have the guitar turned up, what effect the tone knobs have, and what effect the amp EQ controls have. Hearing the all-important difference between gain and volume, and finding out when to use gain (as little as possible).
Later on you can buy a digital multi-effects pedal, such as the Helix HX Effects,
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to start experimenting with effects. Compression, distortion, drive and fuzz; chorus, flanger, tremolo, phaser, and weird stuff like ring modulators. Reverb and delay. Those rabbit-holes go deep. Or if you never want a pension, you can buy separate pedals.
Now watch a video that explains how the guitar sound you hear on your favourite track is not actually what you think it is. What goes on in the mixing desk, and the mastering process, can make more difference than anything you're doing with your pedals. What it takes to sound good in your bedroom rehearsal space on your own, is not what it takes to sound good when playing live, and when in the studio.
It's all good nerdy fun. But it's a much bigger workload than guitarists had back in the 1960's. No-one tried to sound like anyone else, and there were almost no pedals. Now it's not enough to learn someone else's notes, you also have to get a good approximation of their tone. Effects were made in the studio by huge bits of equipment that cost as much as a house did back then. Now every guitar player needs to be their own sound engineer - until they get into the studio, if they ever do.