Do you bring it everywhere with you? If so how do you carry it around? Are there any tips and tricks involving battery length and life?
Not everywhere, no, but that might have something to do with my phone being a "phablet" (Note 4). Most of the time my phone's fine for whatever I need to do while out, but occasionally I'll take a tablet with me if I'll be in one place for a while (I always take one with me to my ENT dr, for example, as I'm usually in the lobby for a good hour.) My tablets are always in cases so I usually just toss a tablet in the leather tablet sleeve I use specifically for that purpose and toss it in my purse (if it's either my Amazon Fire HDX 7" or HDX 8.9") or my backpack or messenger bag (if it's my iPad Air 2).
I don't have much issue with battery life so I've no tips or tricks, but I long for the day when wireless charging on tablets is a thing. I love wirelessly charging my phone, and to be able to just set down a tablet on a charging dock and pick it up when I need it without having to plug and unplug every time would be wonderful. Maybe one day...
What are some things you can do with them (including hacks and what not) What the types of games that can be plaid on them?
Depends on your use case and interests. While I play a lot of games on PC and consoles I'm not much of a mobile gamer, so I just play the occasional board game (Monopoly, Chess, etc) or casual game (Plants vs Zombies, Blek, etc). What you can do with them depends on what you want to do. iPads can be jailbroken and Android tablets can be rooted (depending on model and firmware version, of course), which increases the possibilities.
Your best bet would probably be to go to a store with a large selection of tablets (Best Buy, etc) and play around with a few for a while.