I agree read what you have. Gotta start someplace and there's no time like the present! Every version has it's strengths and weaknesses, and in time you will want to examine other translations, but don't get de-railed on that now.
I think it's equally important to constantly check and re-check our attitude of approach towards Scripture, but I'll get to that last. I usually recommend to start reading in John's Gospel, (the Gen 1:1 of the NT) because you cover the essentials w/o so much repetition, and get straight into the rest quicker. If you're primarily interested in Jesus' words, by all means start in Matthew and read straight through the NT from there.
While I think we should prioritize the NT and "live in the Epistles," I also think you should have many other bookmarks and in time put them to use. For example, read chapter 5 of Proverbs today. This works out every day of the month, and I can guarantee you you'll always find at least something that applies that day!
Another bookmark going in Psalms.
Another marking your progress from Gen 1:1
Perhaps another going through the Prophets, beginning w/ the minor ones at the end that everyone skips but are short and GREAT.
None of this is designed to pre-empt your progress through the NT for any reason, just to keep you fresh, interested; i.e., "on fire." that's important! To wit:
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1. Approach the Bible with the attitude that it is God speaking to you, telling you about how to relate to Him. Pray with a quiet, meditative spirit, for exactly that. Ask Him to show Himself strong to you, in ways you haven't known yet. It's ok to stir up your hunger, but try not to let that stir up your emotions.
2. Do this every morning, and every evening. We can talk about Scriptural reasons in depth later, but it is God's way.
3. As you read, anything that looks good PRAY FOR IT. Specific examples I've found powerful:
a. Is 50:4 "The Lord GOD hath given me the tongue of the learned, that I should know how to speak a word in season to [him that is] weary: he wakeneth morning by morning, he wakeneth mine ear to hear as the learned. (Jesus got this, prophetically. (Jesus got this, prophetically. Talk about humility!)
b. “That[bless and do not curse]the[bless and do not curse]God[bless and do not curse]of[bless and do not curse]our Lord Jesus Christ,[bless and do not curse]the[bless and do not curse]Father[bless and do not curse]of[bless and do not curse]glory, may give unto you[bless and do not curse]the[bless and do not curse]spirit[bless and do not curse]of[bless and do not curse]wisdom[bless and do not curse]and[bless and do not curse]revelation[bless and do not curse]in[bless and do not curse]the knowledge[bless and do not curse]of[bless and do not curse]him:” Eph 1:17
c. Realize EVERY instance of "the wicked man" in Proverbs is you (me / us).
Yeah, ouch.
4. If there's time for more involved praying after this, fine; but more likely there will be other things you need to go do. Don't think they take you away from God because they DON'T! Just don't leave home w/o Him. It's in the doing that prayer seems to be most helpful. "Pray w/o ceasing," keep a prayerful attitude; there is room in His kingdom for
our own unique style. The calling is to abundant LIFE.
May G-d Bless you richly via His Word, which is Blessed already.