You can use either jack you want
For safety sake, don't get under the car unless you have some jackstands. It isn't the jack failing that kills you. It's the fact that you only used a jack and didn't have any backup. You NEVER use a jack alone if you are getting underneath the car. You ONLY use a jack to change a tire on the side of the road and
you never get underneath your car without jack stands in that situation...NEVER
you never get underneath your car without jack stands in that situation...NEVER
you never get underneath your car without jack stands in that situation...NEVER
If you don't have access to jackstands, take the spare tire off your car and jam it up under the car. If it doesn't take up enough space, don't get under.
Do these things
Put the car in park
Use the emergency brake
Find anything you can to use as wheel chocks. 2x4 is better than a rock. A rock can skid along smooth concrete if you are on a slope.
Don't jack up the car if it's on a slope, no matter what. Especially since your are a 'jack your car up virgin'
Put the car on level ground
Use jack stands
Use jack stands
Use jack stands
If you don't have jackstands, use two of your wheels. The spare and another off the car. Jam them up in there. Make sure the car won't fall more than an inch
Make sure you jack your car up per your owners manual. Get it out of the glove box and open it. It will tell you where to place your jack.
BE SAFE, BE SAFE, BE SAFE, BE SAFE, BE SAFE
If you feel uncertain, don't do it. Ask a neighbor who has done it before to help you. Call your friends. Have them come over and help you.
Have someone with you in case something happens and you need help. Do not do this alone since it is your first time. Don't do it alone. DO NOT DO IT ALONE. Have your GF/Wife there. Anybody. The moment you feel uncomfortable abandon the project and find someone to assist.
This post makes me incredibly nervous because you have not done this before.
Please be safe.
Edit:
Your jack placement is very important. If you place your jack incorrectly it can damage your car. I already said this piece but get the owners manual out of your glovebox. It will tell you EXACTLY where to place your jack. There are points the manufacturer designed into the car for you to jack it up. You will want to use those hardened jack points.