Don't worry, you are not alone in being confused. The steem ecosystem is growing very fast with new developments every week.

Do I stake all the tokens that are in my steem engine wallet?

Short answer yes stake all the tokens. (some cannot be staked...yet!)

Claiming an account is just applying for a new account name by using your resource credits is pretty simple if you have enough RC's that is and you have a plan for what you are going to do with the new account. i.e. give it to a family member, friend or use it to start a project which is seperate from your main account.

I have a manual curation account at @steemimages for example. It is used to push up content that I find interesting, useful or engaging.

I can see from your wallet that you do not have enough to claim an account using this method so the other alternative is to buy one for 3 steem from https://steemworld.org if you need one for reasons as mentioned above.

Hope this helps and please do ask questions as this is helpful to everyone. We were all newbs once and we are all still learning. Remember to have fun on the journey!

Thanks for reading.