In Matthew 10:38-39 it is stated as follows below:
New King James Version (NKJV)
38 And he who does not take his cross and follow after Me is not worthy of Me. 39 He who finds his life will lose it, and he who loses his life for My sake will find it.
In Jesus’s time, a cross was where sinful people were crucified. Jesus to be crucified on the cross was simply because HE possessed all our sins according to
2 Corinthians 5:20-21 New King James Version (NKJV)
20 Now then, we are ambassadors for Christ, as though God were pleading through us: we implore you on Christ’s behalf, be reconciled to God. 21 For He made Him who knew no sin to be sin for us, that we might become the righteousness of God in Him.
Taking Jesus’s cross does not mean to carry a physical cross with us in our necks, or on our backs, or on our heads, etc BUT it simply means to always RESPOND with a NO to any WILL that tries to make us sin against God.
That is why it is mentioned that we need to take his cross simply because we need to always nail on the same cross (within our hearts) any sin that tries to prevent us from being accepted by God. That is why it is mentioned in
Galatians 5:24 New King James Version (NKJV)
24 And those who are Christ’s have crucified the flesh with its passions and desires.
And that is why Paul had to mention this in
1 Corinthians 15:31 New King James Version (NKJV)
31 I affirm, by the boasting in you which I have in Christ Jesus our Lord, I die daily.
Yes, he used to die everyday because he used to say NO to bodily desires and lusts on a daily basis for he was a follower of Christ and in this cases he possessed a spiritual cross within himself and that was actually Christ he accepted into his life to fulfill the scripture that says that; we Live NOT on our own but according to His Will.
Lastly, it is mentioned in Mark 8:34-37 New King James Version (NKJV)
34 When He had called the people to Himself, with His disciples also, He said to them, “Whoever desires to come after Me, let him deny himself, and take up his cross, and follow Me. 35 For whoever desires to save his life will lose it, but whoever loses his life for My sake and the gospel’s will save it. 36 For what will it profit a man if he gains the whole world, and loses his own soul? 37 Or what will a man give in exchange for his soul?
We must deny ourselves on a daily basis; we must nail our sins on the cross in our hearts on a daily basis; we must do away with all the body desires on a daily basis; we must say NO to all evil in our lives on a daily basis, etc and by doing all that shows that we are carrying HIS Cross and we are following Him.
Be blessed and Be strong in His Faith.