Looking to upgrade laptop, in need of some advice

Hardware
1

So my laptop is about 2 1/2 years old so I was looking to get some small upgrades for it.

(My laptop is a HP Pavilion G7 running Windows 10, please let me know if you need more info on it)

First the battery. My current one is a 10.8v, 4300 mAh battery and I was looking for a good upgrade on this. I found this one, will it fit/work for my laptop, and would it be a significant improvement on the battery? If not, could you please recommend one?
http://www.newegg.com/Product/Product.aspx?Item=9SIA3E41EY6571

Second, I would like to go from a HDD (or whatever its called) to a SSD. Would this one fit/work inside my laptop?
http://www.amazon.com/Samsung-2-5-Inch-Internal-MZ-75E500B-AM/dp/B00OBRE5UE/ref=lp_1292116011_1_2?s=pc&ie=UTF8&qid=1445051300&sr=1-2 Is there anything faster/better I could get for near the same price?

I was mainly wanting to get a SSD for the better performance of my laptop, but would it also increase my battery life a little bit?

Thanks to anyone who takes the time to help me, I really appreciate it.

2

All SSD's will fit in that laptop :3

Does the laptop have a CD drive? If it does get a hard drive caddy and put your HDD in there and slot your new SSD in. If you can upgrade your ram than I would do that too.

As for the battery you should look on the HP support site for that.

3

You could save a bit on the SSD
https://pcpartpicker.com/part/mushkin-internal-hard-drive-mknssdcr480gb7

Some SSDs are 9mm so they won't actually fit in a few laptops, mostly really thin ones

Otherwise not sure on the battery

4

could you please link me the thing to put the ssd in my laptop?

5

??? What do you mean?

There is a compartment in the laptop you open (normally from the bottom unless it's an ultrabook, then under the keyboard) and replace the HDD with your new SSD.

In terms of a hard drive caddy they are easy to just google.