"And pray in the Spirit on all occasions, with all kinds of prayers and requests. With this in mind, be alert and always keep on praying for all of the Lord's people" ( Ephesians 6:18 NIV).

You will notice the first half of this scripture refers to all kinds of prayers (Moffatt's translation - all manner, Berean Study Bible - every kind of prayer). That let's you know there are certainly different types of prayer which may be used in different situations. 

Some of those mentioned in the scriptures include the following:
Prayer of Faith - Matt.21:21-22, Mark 11:24 
Prayer of a Intercession - Ezekiel 22:30, Romans 8:26.
Prayer of Praise and Worship - Acts 13:1-4, Acts 16:25.
Prayer of Commitment - Ps 37:5, 1Peter 5:7, Philippians 4:6. 
Praying in tongues - Acts 2:4, 1Corinthians 14:14, Jude 20.
Prayer of Agreement - Matthew 18:19 
United Prayer - Acts 4: 23-3.

Primarily, whatever type of prayer or praying you are engaged in should always have its foundation in the word of God. Our faith (belief system) is governed by the word of God. Romans 10:17 (KJV) "Now faith comes by hearing, and hearing by the word of God". We have no right to ask God for something we do not have scripture for.

At the beginning of this year, I was catching up with a few friends and one of them made a statement that stood out in my mind. He said " all prayers may not be a prayer of faith (a type of prayer), but all prayer must be in faith.

You see our faith in God and His word is an expression of our trust and confidence in Him and His word. That confidence or trust propels us to act. That action in prayer is asking with an assurance of an answer from Him.

Is 55:11(NIV)  "So is my word that goes out from my mouth: it will not return to me empty, but will accomplish what I desire and achieve the purpose for which I sent it."

That should remind us that when we approach our heavenly father in prayer we must be totally confident in His word concerning that situation. 

I John 5:14-15 (NKJV) "Now this is the confidence that we have in Him, that if we ask anything according to His will, He hears us.
"And if we know that He hears us, whatever we ask, we know that we have the petitions that we have asked of Him.

In the second half of Ephesians 6:18 it says we should be alert in praying for the saints. Think of it this way; we should be sensitive in our hearts by letting the Holy Spirit lead us in the place of prayer. Don't be set in your ways or fixed on a type or method of prayer.

I have found in my personal life that as I go about my daily activities (driving, school runs, working, making dinner, doing the laundry etc), if I stay sensitive to His Spirit, He can get my attention to pray about a situation, a need, someone I know personally or someone on the other side of the world. Many times, I have had an immediate family member call and ask for us to agree in prayer about a situation and immediately I knew in my heart it was a situation I had prayed about. Usually, I end up saying, "you know the Lord got across to me about that situation the other day, let's give thanks because it's done!!"

This makes our prayer lives so productive, fun and an adventure in faith with our God. So be willing and available to yield to His Spirit in the place of prayer and remember, all prayer is based on God's word!