Are homemade batteries economically practical?
No: trying to catch up with 100+ years of technological optimizations in your kitchen won't be an economical enterprise.  Store-brought batteries are standardized and relatively inexpensive.  Power from an outlet is even less expensive (by one or two orders of magnitude).

On the other hand,
in many places you can save on electricity by going solar. Even if you can't install solar panels on your roof because you don't own a house, you could buy solar chargers for small appliances if you have a sunny corner in your apartment...