Before undertaking any "space saving" or "speed up" tips, please make a full back up of your phone to an external device, and make sure you know how to do a restore!
Offloading stuff from the phone to the net periodically is also a good idea. e.g. Apple will rent you 2GBs of iCloud storage for €2.99/month. Options like this makes the data concerned "shared" i.e. accessible to your other devices without having to copy files back and forth. There may be a limit to the number of devices that can access one of these shared repositories; Apple's is 5 devices.