How to get started reading the King James version
Getting your own KJV
To start with, you have to get access to a King James version Bible. I have a few listed on the home page under the section "A Free Bible". A great thing about the KJV is that it's essentially without copyright worldwide, so it's cheap to print and can usually be bought more cheaply than any other Bible version. It's also one of the most printed books of all time, if not the most printed book of all time, so they're available for that reason, too. I personally have had very good experiences with The KJV Store.
People make the claim that it's difficult to understand, and while, at first glancing at some of the passages from the KJV, I can understand the sentiment, it's an overstatement to say that you can't overcome those issues with a little bit of study. And, I would assert, if there's anything we should spend our time studying, it's these small differences in language so we can absorb God's preserved words.
Grammar
After you have a KJV Bible, then you should learn a bit about the grammar used. These guides should prepare you for looking at the pronouns and verbs used in the scriptures:
https://www.scribd.com/document/122098354/A-Five-Minute-Complete-Guide-to-King-James-Grammar
https://www.kjvtoday.com/home/language-guide
I've also posted some videos below on the topic.
Word Definitions
And sometimes you'll come across nouns that we don't use today, or that have slightly different definitions today than they used to. This is a short list of many of these:
http://www.preservedwords.com/wordlist.htm
Webster's 1828 dictionary provides a much more extensive list of words, and is more contamporaneous with the KJV word usage. It often references the KJV in its examples, even. This is why many people who study the KJV have a Webster's 1828 dictionary on hand.
http://webstersdictionary1828.com/
By no means are these dictionary lists infallible, though, so take those definitions with a grain of salt. The best way to figure out what a word means in the Bible is to see how it was first used in the scriptures, or how it's used in other verses. God often defines a word in the immediate verse, or nearly-surrounding verses on its first usage. Or sometimes the same in later usages, as well.
Searching the scriptures
A good, free way to search the Bible is to go to an online KJV like (https://www.kingjamesbibleonline.org/). I personally use the software called SwordSearcher and would highly recommend it.
Reading
Beyond that, I would recommend that new Christians start out in John and Romans. I would also highly recommend praying before you begin reading and asking God for wisdom and understanding of His word. One interesting fact is that the KJV progressively gets harder from Genesis to Revelation, and many people used to teach their children to read by having them read a Bible. So it might be helpful to read Genesis to acquaint yourself with the style, as well.
To start with, you have to get access to a King James version Bible. I have a few listed on the home page under the section "A Free Bible". A great thing about the KJV is that it's essentially without copyright worldwide, so it's cheap to print and can usually be bought more cheaply than any other Bible version. It's also one of the most printed books of all time, if not the most printed book of all time, so they're available for that reason, too. I personally have had very good experiences with The KJV Store.
People make the claim that it's difficult to understand, and while, at first glancing at some of the passages from the KJV, I can understand the sentiment, it's an overstatement to say that you can't overcome those issues with a little bit of study. And, I would assert, if there's anything we should spend our time studying, it's these small differences in language so we can absorb God's preserved words.
Grammar
After you have a KJV Bible, then you should learn a bit about the grammar used. These guides should prepare you for looking at the pronouns and verbs used in the scriptures:
https://www.scribd.com/document/122098354/A-Five-Minute-Complete-Guide-to-King-James-Grammar
https://www.kjvtoday.com/home/language-guide
I've also posted some videos below on the topic.
Word Definitions
And sometimes you'll come across nouns that we don't use today, or that have slightly different definitions today than they used to. This is a short list of many of these:
http://www.preservedwords.com/wordlist.htm
Webster's 1828 dictionary provides a much more extensive list of words, and is more contamporaneous with the KJV word usage. It often references the KJV in its examples, even. This is why many people who study the KJV have a Webster's 1828 dictionary on hand.
http://webstersdictionary1828.com/
By no means are these dictionary lists infallible, though, so take those definitions with a grain of salt. The best way to figure out what a word means in the Bible is to see how it was first used in the scriptures, or how it's used in other verses. God often defines a word in the immediate verse, or nearly-surrounding verses on its first usage. Or sometimes the same in later usages, as well.
Searching the scriptures
A good, free way to search the Bible is to go to an online KJV like (https://www.kingjamesbibleonline.org/). I personally use the software called SwordSearcher and would highly recommend it.
Reading
Beyond that, I would recommend that new Christians start out in John and Romans. I would also highly recommend praying before you begin reading and asking God for wisdom and understanding of His word. One interesting fact is that the KJV progressively gets harder from Genesis to Revelation, and many people used to teach their children to read by having them read a Bible. So it might be helpful to read Genesis to acquaint yourself with the style, as well.