I have had good luck growing lemons on a tree indoors in front of a south west facing patio door, so the limes should do well too. Might take a while from seed before you get fruit.
I liked to explore the roadsides. I found just a few stalks of wild asparagus and my Grandma cooked it for me. My grandfather died when I was almost 5 and in their barn, there was still corn in a small bin, a sheller, and a coffee grinder. I loved shelling that corn and making corn meal. My grandma would make corn meal mush and we'd put syrup on it. The only thing I did to really help my grandmother was dry the dishes and put them away. In later years I do not know how she kept that house so clean, big Victorian, when my aunt would come in the summer from teaching, she would help.
Grandma had an acreage on the edge of town and 2 farms. In later years, she almost never went anywhere. When she died, my dad sold the house for $10,000 and this guy was converting it to apartments, a fire started, and there was too much damage. He sold off 2 lots in the back where there are houses. And built himself a fine new house where Grandma's had stood, never the same to me. My dad was so good about things. He'd do all the chores like changing storms to screens and back, get the dog under the porch for winter, whatever needed fixing, and the worst job he had a trailer and he'd shovel all the clinkers into the trailer and we'd take them out to a ditch adjoining one of the farms and dump them.
My mother didn't like me in the kitchen particularly but would let me cook and she'd tell me what to do. But she wouldn't do it for me. She was a control freak about her cooking. I don't think she wanted anybody messing with it. I'm kind of like that, too.
It would probably take some years to bear fruit but it would be fun and wouldn't require too much work. I saw somebody on yt or the web who had a bunch of seedlings to transplant.