If you are just coming into the faith, I would recommend skipping the Liturgy of the Hours for at least 6 months. It is a bit overwhelming. Most lay Catholics do not pray the Hours.
You should become familiar with a prayer book. You can get a good prayer book for a couple of dollars.
Instead of focusing exclusively on vocal prayer, I would recommend doing some spiritual reading. When I returned to the church, I started with a Catholic prayer book and Catholicism for Dummies. I graduated to the Eucharist with St. Louis de Montfort and St. Alphonsus. The Doctor’s of the Church are great, If you see a Saint quoted a lot, and his or her words speak to you, give them a read.
Eucharistic Adoration is a great way to pray and do spiritual reading.
The rosary or the Divine Mercy Chaplet are nice daily exercises. If you get hung up on the Hail Mary, the book Behold Your Mother by Tim Staples will answer every conceivable question about Mary you could ever ask.
Good Luck! I think you will find a great home on this side of the Tiber. You will find lots of advice on this website.