Good advice from Hizikyah!
First do not be overwhelmed. I think memorizing Scripture is the best possible thing we can do for our souls!
Second, do not panic. Memorization is a learned skill, not taught in school much these days. So this is a great opportunity for you. If you hide God's Word in your heart it will always be there for you.
I agree with the flash cards, with a few verses on it. Start by reading the verse prayerfully, and thinking about the most important things in the verse. Then look at what the verbs are and the nouns. Be aware of the opening and closing words.
Then you need to sit down and just memorize by rote. That could mean repeating the verses over and over, or repeating each word over and over. Then work on phrases. I memorized Romans 5, and there were so many "More that that" and "Therefore since" and "much more" phrases it became some good starting points to tie the sentences together.
Finally really try and understand the meaning of what the chapter is saying. Is it about the cross, or how to follow Jesus? It it a chapter of praise, or a narrative? What is God saying to his people and to you!, All these things can help you, but in the end, you just have to memorize word after word.
Flash cards taken everywhere are your best friend, for sure! When I learned Greek and Hebrew, I had my purse and pockets crammed with flash cards, and every time I had to sit down, I was working on them. Some people asked questions about what I was doing, but most didn't even notice.