So we have this cheap ass guitarat home and it hurts when i play it. I think the action is too high but I don't know, anyway is it normal for the distance between string and fretboard to increase as it goes to the body of the guitar?

check if the neck is pointing upwards when the guitar is laid flat, if it is then you need to take it to get the truss rod sorted out(I've been told not to adjust it on accoustics), if not then you'll need to lower the action at the saddle end. The action does widen a small amount as you get closer to the body, but it shouldn't be too noticable as in to make playing uncomfortable. Allthough some blues/skiffle dudes seem to like it that way.

On the topic of guitars, do they make ones with smaller distances between frets or something? My hands aren't particularly large and it's uncomfortable for me to do even some basic chords. Maybe that just gets easier the more you play and as your dexterity increases?

Also also on the topic of guitars, I have a cheap-ass used Samick that's just awful, barely even playable. Say I wanted to drop under $100 for a new electric guitar, what's a good brand/model to look for?

I'm not sure about smaller distances between frets since it's not really the fret but how you shorten the string to change its frequency(pitch), so I would assume the distances are standard so that every not is in the proper frequency range. On second thought I might be wrong I remmeber seeing a mini guitar which is about an arm long and also other insturments have really small fret distances like banduria.

If you can't reach the strings I think you just need to practice it to improve flexibility.

On the topic of guitars, do they make ones with smaller distances between frets or something? My hands aren't particularly large and it's uncomfortable for me to do even some basic chords. Maybe that just gets easier the more you play and as your dexterity increases?

Also also on the topic of guitars, I have a cheap-ass used Samick that's just awful, barely even playable. Say I wanted to drop under $100 for a new electric guitar, what's a good brand/model to look for?

I don't know much at all about guitars so someone else might have more to say about htis but I got an Ibanez Mikro because I have tiny as heck hands and it's much easier for me to play than a regular sized acoustic or w/e.

Due to the abuse my hands have taken over the years (bashing into boards, bones, bricks, etc) it gets really uncomfortable for me to play power chords in standard tuning. For my faster punk stuff, I actually switched over to bass and found it was a lot more comfortable for my hands.

Besides just switching instruments or going for a mini-guitar, you might try some alternate tunings. I use a variation of the tuning Thurston Moore uses on Honest James, and it is extremely comfortable to play around in.

I also invented a tuning for my noise rock band that is pretty comfortable. DAEGBB. Now, after I started playing with it, I googled it to see if anyone else uses it. Apparently there is some guy that uses it on one song, but since I never heard of him until that point, I still count it as my own invention.

The combination of DAF#ADD and DAEGBB sound really well together in a two guitar set-up, by the way.

Try with a children's size guitar at first (there are some cheap Spongebob Squarepants guitars which look really cool and are highly rated, or an Ibanez mikro, which I would recommend also, especially since I only use Ibanez guitars!), as they have smaller frets, and then after that feels comfortable, then move onto a bigger guitar. Accoustic guitars are also good for this, when I started at 13, it was with a full size accoustic, and my tiny teenage hands had to stretch and adapt, plus it builds up dexterity when it comes to electric, which use thinner strings and low friction necks. Also try some finger stretches which are amazing after a while, I couldn't fret chords until after doing them.

The standard budget guitar is a Fender Squire, and you can get a second hand one for under $100 (try local pawn shops or ebay), tough they're really weak flimsy sound, but ideal when starting out. They're quite tough as well and can take a beating. I set mine on fire (because I'm so fucking hardcore) and have since rewired it back together, and it allows me some neat music, as all character/tone has gone from it, so when I play through effects, only the effects come out so it sounds kinda synth-y.