Good, Cheap, Gaming Computers?

I'm a small gamer and I've used laptops for gaming my whole life. I do get good FPS, but not the best. Now I would like a real PC (A tower/desktop, I already have a monitor) but I want it cheap. I really only play minecraft and some GTA, and some more little things, but thats really iy. I would like around 100 FPS, and a good brand. (I love HP computers, I've always had them, and they are great!) Any good towers? Remember, CHEAP! I'm on a tight budget.

What is there to do in London?

I'm going to London with my father and his girlfriend in a few days. I like gaming alot (specially World Of Warcraft and Minecraft). I like history and drinking tea. (I'm going to Twinings shop). I'm also going to alot of Museums. (Any gaming museums?) I'm 15 (Just incase somewhere requires 18+)

Added (1). Also I really like The Lord Of The Rings.

Is a toshiba laptop good for video recording and gaming at the same time?

Ok so i'm going to get a Toshiba Satellite L70 - A Series laptop and i want to make youtube videos off of it with a video recorder and play minecraft multiplayer at the same time. It has about a 2.0 CPU and a 4 GB RAM it also has duel core processing. If you could help me in anyway that would be great thanks!

Why is my Minecraft lagging so badly?

My Minecraft has been lagging very badly, any world that I make I will be getting 0-4 fps at max. I have a windows 8 operating system and all of my other games run fine, only Minecraft has any problems.

HP Winter Blue good for gaming?

I only have $300 and HP Winter Blue is $300 and i love to play games like Minecraft so i was wondering if the fps would be good/ok as in no lag.

Will this build work for absolutely everything that I want to do?

So, I plan on building a gaming pc and I have never done it before. To make matters worse I hardly know anything about computers. I'm doing research and learning. What I need to know is will the list of parts that I've picked work for everything I want it to do. Also are all of the parts compatible with one another?

What I need it to do is as follows:
-Play games on high settings over 30 FPS and record while doing so. (games include COD, Battlefield, Minecraft.)
-Play games online using Wi-Fi
-Play for up to 6 hours at once without overheating
-Play all sounds ever needed with speakers. (I have speakers already)
--This list may be incomplete so if you think of anything else I may use it for let me know.

Part list:

CPU Intel Core i5-3570K 3.4GHz Quad-Core
CPU Cooler Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing
Motherboard Asus P8Z77-V LK ATX LGA1155
Memory Crucial Ballistix Sport 8GB (2 x 4GB) DDR3-1600
Storage Western Digital Caviar Blue 1TB 3.5" 7200RPM
Video Card EVGA GeForce GTX 770 2GB
Sound Card Asus Xonar DG
Wireless Network Adapter Asus USB-N13 802.11b/g/n USB 2.0
Case Corsair 300R ATX Mid Tower
Power Supply XFX 750W ATX12V / EPS12V
Optical Drive LG GH24NS95 DVD/CD Writer

I know this may be asking a lot but all help is appreciated.

Added (1). Note: I will not be building this alone. I have PC savvy friends.