+1 to the apt brewers.
I don't have any outdoor space or a balcony so have to use a stovetop in a very small kitchen. Even when I move I plan on brewing indoors though, I like the idea of an electric brewery. I do 5gal full AG with a 10gal rubbermaid cooler for a mash tun and boil on my stove. I use foil as an insulator so I can easily boil 7+ gallons in a reasonable amount of time. Here's a little pictorial tutorial:
https://www.homebrewtalk.com/f39/stovetop-problems-ag-224438/#post2637327
I've slowly been improving my materials and methods over time. I used to only have a single 8gal pot without any valves, I've since acquired a 10gal pot with a ball valve... so nice, I previously was pouring my strike and sparge water from a large pot into the mash tun, scared the hell out of me. The second pot was a high priority as every brewday was a game of "how much 180 degree water will I spill this time".
For a long time I used a ghetto rigged "fermentation cabinet" that was just painted plywood thrown together with drywall screws and a couple L brackets. I could fit two carboys behind it, it made the gf much happier that the fermenters weren't just sitting in the open in the corner of the bedroom.
I punched a hole in the side of it and put a computer fan there to keep air moving over a swamp cooler, worked pretty well. I just grabbed a larger mini fridge from a guy on craigslist and made a temp controller (ebay build from the DIY section) and have my first temp controlled ale fermenting right now, I'm really excited about it. Sadly the ghetto 'chamber' had to go in the trash as nobody wanted it (or understood what it was, haha).
Hmm what else... my bottles condition in milk crates stacked in a closet. It's a gigantic pain to move the crates around but I don't have much of a choice. Equipment is stored on a large storage rack in a large closet, I get about a shelf and a half... a rubbermaid bin holds all the small stuff, I have a small area for drying things and the IC gets a spot. I hang as much as I can, my pots hang on hooks from the ceiling while my bottling tree, hoses, siphons, and hoses hang on the wall. Wall mounted broom holders work well for holding autosiphons and hoses. The currently empty fermenters kinda get piled up in a spot in the closet (I use better bottles and various 4 and 5 gal PET bottles I've picked up along the way).
I'd say the most annoying thing is that nothing can be left out at all, I have to fully unpack and repack every single thing each brewday. Also cleaning sucks, I have to go back and forth from the kitchen to the bathroom a lot and cleaning in a tub is awkward... really would love to have a hose and a utility sink. I have a crappy vent that doesn't actually vent outdoors too so moisture builds up easily which is irritating. Bottling is terrible because I have to sit on the floor.
I can't wait to have a dedicated space but it'll be quite a while. I'm slowly convincing SWMBO that I need better equipment for better beer even in this tiny space, the fridge was a big victory for me, that took several months of convincing (and a S05 batch she was excited about that came out kinda peachy)... if only I could get a kegging setup too! All in all it's not bad and I make good beer. Brewday is a shade under 5 hours including setup and cleanup at this point so it's not too bad.